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Artigos de revistas sobre o tema "Infinte products"

Autor: Grafiati

Publicado: 4 de junho de 2021

Última modificação: 7 de fevereiro de 2022

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1

ELDAR, YONINA C., e TOBIAS WERTHER. "GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES". International Journal of Wavelets, Multiresolution and Information Processing 03, n.º 03 (setembro de 2005): 347–59. http://dx.doi.org/10.1142/s0219691305000890.

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We introduce a general framework for consistent linear reconstruction in infinite-dimensional Hilbert spaces. We study stable reconstructions in terms of Riesz bases and frames, and generalize the notion of oblique dual frames to infinte-dimensional frames. As we show, the linear reconstruction scheme coincides with the so-called oblique projection, which turns into an ordinary orthogonal projection when adapting the inner product. The inner product of interest is, in general, not unique. We characterize the inner products and the corresponding positive operators for which this geometrical interpretation applies.

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2

Jeong, JA A., Kazunori Kodaka e Hiroyuki Osaka. "Purely Infinite Simple C*-Crossed Products II". Canadian Mathematical Bulletin 39, n.º 2 (1 de junho de 1996): 203–10. http://dx.doi.org/10.4153/cmb-1996-025-2.

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AbstractWe study the pure infiniteness of C* -crossed products by endomorphisms and automorphisms. Let A be a purely infinité simple unital C*-algebra. At first we show that a crossed product A × p N by a corner endomorphism p is purely infinite if it is simple. From this observation we prove that any simple C*-crossed products A ×αZ by an automorphism α is purely infinite. Combining this with the result in [Je] on pure infiniteness of crossed products by finite groups, one sees that if α is an outer action by a countable abelian group G then the simple C*-algebra A ×α G is purely infinite.

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3

Loeb, Peter A., e David A. Ross. "Infinite products of infinite measures". Illinois Journal of Mathematics 49, n.º 1 (janeiro de 2005): 153–58. http://dx.doi.org/10.1215/ijm/1258138311.

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4

Meier, John. "The topology of graph products of groups". Proceedings of the Edinburgh Mathematical Society 37, n.º 3 (outubro de 1994): 539–44. http://dx.doi.org/10.1017/s001309150001899x.

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Given a finite (connected) simplicial graph with groups assigned to the vertices, the graph product of the vertex groups is the free product modulo the relation that adjacent groups commute. The graph product of finitely presented infinite groups is both semistable at infinity and quasi-simply filtrated. Explicit bounds for the isoperimetric inequality and isodiametric inequality for graph products is given, based on isoperimetric and isodiametric inequalities for the vertex groups.

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5

Magnot, Jean-Pierre. "The Mean Value for Infinite Volume Measures, Infinite Products, and Heuristic Infinite Dimensional Lebesgue Measures". Journal of Mathematics 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/9853672.

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One of the goals of this article is to describe a setting adapted to the description of means (normalized integrals or invariant means) on an infinite product of measured spaces with infinite measure and of the concentration property on metric measured spaces, inspired from classical examples of means. In some cases, we get a linear extension of the limit at infinity. Then, the mean value on an infinite product is defined, first for cylindrical functions and secondly taking the uniform limit. Finally, the mean value for the heuristic Lebesgue measure on a separable infinite dimensional topological vector space (e.g., on a Hilbert space) is defined. This last object, which is not the classical infinite dimensional Lebesgue measure but its “normalized” version, is shown to be invariant under translation, scaling, and restriction.

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6

Brown, K. A. "INFINITE CROSSED PRODUCTS". Bulletin of the London Mathematical Society 22, n.º 4 (julho de 1990): 394–96. http://dx.doi.org/10.1112/blms/22.4.394.

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7

Meir, Nadav. "Infinite lexicographic products". Annals of Pure and Applied Logic 173, n.º 1 (janeiro de 2022): 102991. http://dx.doi.org/10.1016/j.apal.2021.102991.

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8

Izuchi, Keiji. "Weak infinite products of Blaschke products". Proceedings of the American Mathematical Society 129, n.º 12 (16 de abril de 2001): 3611–18. http://dx.doi.org/10.1090/s0002-9939-01-05957-3.

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9

Muthuvel, Kandasamy. "Infinite products of alephs". Fundamenta Mathematicae 131, n.º 3 (1988): 255–56. http://dx.doi.org/10.4064/fm-131-3-255-256.

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10

HANCL, JAROSLAV, e ONDREJ KOLOUCH. "Irrationality of infinite products". Publicationes Mathematicae Debrecen 83, n.º 4 (1 de dezembro de 2013): 667–81. http://dx.doi.org/10.5486/pmd.2013.5676.

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11

Desbrow, Darrell. "96.15 Three infinite products". Mathematical Gazette 96, n.º 535 (março de 2012): 130–31. http://dx.doi.org/10.1017/s0025557200004150.

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12

Short, L. "Some further infinite products". International Journal of Mathematical Education in Science and Technology 24, n.º 1 (janeiro de 1993): 91–99. http://dx.doi.org/10.1080/0020739930240112.

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13

Dehornoy, Patrick. "Infinite products in monoids". Semigroup Forum 34, n.º 1 (dezembro de 1986): 21–68. http://dx.doi.org/10.1007/bf02573152.

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14

Toyoizumi, Masao. "On certain infinite products III". Acta Arithmetica 51, n.º 3 (1988): 221–31. http://dx.doi.org/10.4064/aa-51-3-221-231.

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15

Trench, William F. "Conditional Convergence of Infinite Products". American Mathematical Monthly 106, n.º 7 (agosto de 1999): 646. http://dx.doi.org/10.2307/2589494.

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16

Tachiya, Yohei. "Transcendence of certain infinite products". Journal of Number Theory 125, n.º 1 (julho de 2007): 182–200. http://dx.doi.org/10.1016/j.jnt.2006.11.006.

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17

Stephens, E. "79.52 Slowly Convergent Infinite Products". Mathematical Gazette 79, n.º 486 (novembro de 1995): 561. http://dx.doi.org/10.2307/3618092.

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18

DUKE, WILLIAM, e HA NAM NGUYEN. "INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS". Bulletin of the Australian Mathematical Society 91, n.º 3 (26 de fevereiro de 2015): 400–411. http://dx.doi.org/10.1017/s0004972715000039.

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We study analytic properties of certain infinite products of cyclotomic polynomials that generalise some products introduced by Mahler. We characterise those that have the unit circle as a natural boundary and use associated Dirichlet series to obtain their asymptotic behaviour near roots of unity.

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19

Trench, William F. "Conditional Convergence of Infinite Products". American Mathematical Monthly 106, n.º 7 (agosto de 1999): 646–51. http://dx.doi.org/10.1080/00029890.1999.12005098.

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20

Montgomery, Susan. "Book Review: Infinite crossed products". Bulletin of the American Mathematical Society 24, n.º 2 (1 de abril de 1991): 391–403. http://dx.doi.org/10.1090/s0273-0979-1991-16044-1.

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21

Campbell, Geoffrey B. "Infinite products over hyperpyramid lattices". International Journal of Mathematics and Mathematical Sciences 23, n.º 4 (2000): 271–77. http://dx.doi.org/10.1155/s0161171200000764.

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22

Budzyńska, Monika, e Simeon Reich. "Infinite products of holomorphic mappings". Abstract and Applied Analysis 2005, n.º 4 (2005): 327–41. http://dx.doi.org/10.1155/aaa.2005.327.

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LetXbe a complex Banach space,𝒩a norming set forX, andD⊂Xa bounded, closed, and convex domain such that its norm closureD¯is compact inσ(X,𝒩). Let∅≠C⊂Dlie strictly insideD. We study convergence properties of infinite products of those self-mappings ofCwhich can be extended to holomorphic self-mappings ofD. Endowing the space of sequences of such mappings with an appropriate metric, we show that the subset consisting of all the sequences with divergent infinite products isσ-porous.

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23

Rohm, Dale M. "Products of infinite-dimensional spaces". Proceedings of the American Mathematical Society 108, n.º 4 (1 de abril de 1990): 1019. http://dx.doi.org/10.1090/s0002-9939-1990-0946625-x.

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24

Ibrahim, Adel K., e Medhat A. Rakha. "Numerical computations of infinite products". Applied Mathematics and Computation 161, n.º 1 (fevereiro de 2005): 271–83. http://dx.doi.org/10.1016/j.amc.2003.12.027.

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25

Knopfmacher, Arnold, e John Knopfmacher. "Infinite products for power series". Journal of Approximation Theory 59, n.º 3 (dezembro de 1989): 276–81. http://dx.doi.org/10.1016/0021-9045(89)90091-9.

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26

Hua, Fan Ai. "Multifractal analysis of infinite products". Journal of Statistical Physics 86, n.º 5-6 (março de 1997): 1313–36. http://dx.doi.org/10.1007/bf02183625.

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27

Miranda, Enrique, e Marco Zaffalon. "Independent products in infinite spaces". Journal of Mathematical Analysis and Applications 425, n.º 1 (maio de 2015): 460–88. http://dx.doi.org/10.1016/j.jmaa.2014.12.049.

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28

Giordano, Thierry, e Adam Sierakowski. "Purely infinite partial crossed products". Journal of Functional Analysis 266, n.º 9 (maio de 2014): 5733–64. http://dx.doi.org/10.1016/j.jfa.2014.02.025.

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29

Zucker, I. J. "A systematic way of converting infinite series into infinite products". Journal of Physics A: Mathematical and General 20, n.º 1 (11 de janeiro de 1987): L13—L17. http://dx.doi.org/10.1088/0305-4470/20/1/003.

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30

Dydak, Jerzy. "Extension theory of infinite symmetric products". Fundamenta Mathematicae 182, n.º 1 (2004): 53–77. http://dx.doi.org/10.4064/fm182-1-3.

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31

Campbell, Geoffrey B. "Infinite products over visible lattice points". International Journal of Mathematics and Mathematical Sciences 17, n.º 4 (1994): 637–54. http://dx.doi.org/10.1155/s0161171294000918.

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About fifty new multivariate combinatorial identities are given, connected with partition theory, prime products, and Dirichlet series. Connections to Lattice Sums in Chemistry and Physics are alluded to also.

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32

Alaca, Ayşe, Şaban Alaca e Kenneth S. Williams. "Some Infinite Products of Ramanujan Type". Canadian Mathematical Bulletin 52, n.º 4 (1 de dezembro de 2009): 481–92. http://dx.doi.org/10.4153/cmb-2009-050-5.

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33

Jeong, Ja A. "Purely Infinite Simple C ∗ -Crossed Products". Proceedings of the American Mathematical Society 123, n.º 10 (outubro de 1995): 3075. http://dx.doi.org/10.2307/2160662.

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34

Toyoizumi, Masao. "A note on certain infinite products". Proceedings of the Japan Academy, Series A, Mathematical Sciences 68, n.º 10 (1992): 345–47. http://dx.doi.org/10.3792/pjaa.68.345.

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35

Krupski, Mikołaj. "On functional tightness of infinite products". Topology and its Applications 229 (setembro de 2017): 141–47. http://dx.doi.org/10.1016/j.topol.2017.07.013.

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36

Amou, Masaaki, e Keijo Väänänen. "Arithmetical properties of certain infinite products". Journal of Number Theory 153 (agosto de 2015): 283–303. http://dx.doi.org/10.1016/j.jnt.2015.01.011.

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37

Borges, Carlos R. "The sup metric on infinite products". Bulletin of the Australian Mathematical Society 44, n.º 3 (dezembro de 1991): 461–66. http://dx.doi.org/10.1017/s0004972700029956.

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We study the properties of the sup metric on infinite products Z = X.(If d is a bounded metric on X then ρ, defined by ρ((xα), (yα)) = , is the sup metric on Z.) In particular, we prove that if X is an AR(metric) or a topological group then so is Z.

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38

Hanna, Yousry S., e Samya F. Ragheb. "On the Infinite Products of Matrices". Advances in Pure Mathematics 02, n.º 05 (2012): 349–53. http://dx.doi.org/10.4236/apm.2012.25050.

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39

Wermuth, Edgar M. E. "Some Elementary Properties of Infinite Products". American Mathematical Monthly 99, n.º 6 (junho de 1992): 530. http://dx.doi.org/10.2307/2324060.

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40

Power, S. C. "Infinite Lexicographic Products of Triangular Algebras". Bulletin of the London Mathematical Society 27, n.º 3 (maio de 1995): 273–77. http://dx.doi.org/10.1112/blms/27.3.273.

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41

Allouche, Jean-Paul, e Henri Cohen. "Dirichlet Series and Curious infinite Products". Bulletin of the London Mathematical Society 17, n.º 6 (novembro de 1985): 531–38. http://dx.doi.org/10.1112/blms/17.6.531.

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42

Wermuth, Edgar M. E. "Some Elementary Properties of Infinite Products". American Mathematical Monthly 99, n.º 6 (junho de 1992): 530–37. http://dx.doi.org/10.1080/00029890.1992.11995887.

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43

Trench, William F. "Invertibly convergent infinite products of matrices". Journal of Computational and Applied Mathematics 101, n.º 1-2 (janeiro de 1999): 255–63. http://dx.doi.org/10.1016/s0377-0427(98)00191-5.

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44

Kimura, Shun-ichi, e Angelo Vistoli. "Chow rings of infinite symmetric products". Duke Mathematical Journal 85, n.º 2 (novembro de 1996): 411–30. http://dx.doi.org/10.1215/s0012-7094-96-08517-8.

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45

Chmielewska, Katarzyna, e Aleksander Maliszewski. "Infinite products of Borel measurable functions". Topology and its Applications 155, n.º 17-18 (outubro de 2008): 1996–2000. http://dx.doi.org/10.1016/j.topol.2007.04.027.

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46

Chmielewska, Katarzyna, e Aleksander Maliszewski. "Infinite products of quasi-continuous functions". Topology and its Applications 156, n.º 18 (dezembro de 2009): 3101–8. http://dx.doi.org/10.1016/j.topol.2009.03.048.

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47

Guu, Sy-Ming, Yung-Yih Lur e Chin-Tzong Pang. "On Infinite Products of Fuzzy Matrices". SIAM Journal on Matrix Analysis and Applications 22, n.º 4 (janeiro de 2001): 1190–203. http://dx.doi.org/10.1137/s0895479800366021.

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48

Boyer, Robert P., e Yun S. Yoo. "Unitary representations of infinite wreath products". Annals of Functional Analysis 10, n.º 1 (fevereiro de 2019): 97–105. http://dx.doi.org/10.1215/20088752-2018-0011.

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49

Pustylnik, Evgeniy, Simeon Reich e Alexander J. Zaslavski. "Inexact Infinite Products of Nonexpansive Mappings". Numerical Functional Analysis and Optimization 30, n.º 5-6 (30 de junho de 2009): 632–45. http://dx.doi.org/10.1080/01630560902987998.

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50

Wang, Xingping, e Zhaolin Cheng. "Infinite products of uniformly paracontracting matrices". Linear and Multilinear Algebra 64, n.º 5 (8 de julho de 2015): 856–62. http://dx.doi.org/10.1080/03081087.2015.1063577.

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