Academic literature on the topic 'Smoothness and renorming'
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Journal articles on the topic "Smoothness and renorming"
Finet, Catherine. "Renorming Banach spaces with many projections and smoothness properties." Mathematische Annalen 284, no. 4 (December 1989): 675–79. http://dx.doi.org/10.1007/bf01443358.
Full textGarcía-Pacheco, Francisco Javier. "Renormings concerning exposed points and non-smoothness." Science in China Series A: Mathematics 52, no. 9 (September 2009): 1844–48. http://dx.doi.org/10.1007/s11425-009-0155-y.
Full textDiestel, J. "Book Review: Smoothness and renormings in Banach spaces." Bulletin of the American Mathematical Society 31, no. 1 (July 1, 1994): 140–42. http://dx.doi.org/10.1090/s0273-0979-1994-00500-2.
Full textCausey, R., A. Fovelle, and G. Lancien. "Asymptotic smoothness in Banach spaces, three-space properties and applications." Transactions of the American Mathematical Society, December 16, 2022. http://dx.doi.org/10.1090/tran/8818.
Full textWójcik, Paweł. "When are maps preserving semi-inner products linear?" Aequationes mathematicae, July 3, 2021. http://dx.doi.org/10.1007/s00010-021-00829-3.
Full textDissertations / Theses on the topic "Smoothness and renorming"
RUSSO, TOMMASO. "ON SOME OPEN PROBLEMS IN BANACH SPACE THEORY." Doctoral thesis, Università degli Studi di Milano, 2019. http://hdl.handle.net/2434/609289.
Full textGuirao, Sánchez Antonio José. "Renormamiento en espacios de Banach." Doctoral thesis, Universidad de Murcia, 2007. http://hdl.handle.net/10803/10965.
Full textThe thesis consists of one introductory chapter and four chapterscontaining original mathematical results. Let us pass to a briefdescription of the main results.Chapter 2 contains an analysis of the possible modulus of rotundityfunctions (m.r.f) for a given uniformly rotund (UC) Banach space. It isshown that m.r.f. are characterized, up to equivalence, by certainclassical properties of them.In Chapter 3, the notion of m.r. for a convex function defined on a Banachspace is studied. This seems to be the first instance of rather completegeneral results on Banach spaces. It is shown that a Banach space issuperreflexive iff it admits a (UC) function defined on the whole space.In Chapter 4 a problem asked by Godefroy and Zizler is solved; asuperreflexive Banach space with Schauder basis can be renormed by (UC)norm which makes the given basis monotone. An improvement of a result ofGurarii is an immediate corollary.In Chapter 5 the author studies the notion of modulus of squareness. Itallows to recognize (UC) and uniform smoothness. The author succeeds todefine the local version, and proves various characterizations ofpointwise behaviour of the norm.
Books on the topic "Smoothness and renorming"
Deville, R. Smoothness and renormings in Banach spaces. Harlow, Essex, England: Longman Scientific & Technical, 1993.
Find full textDeville, Robert. Smoothness and renormings in Banach spaces. Harlow: Longman Scientific and Technical, 1993.
Find full textZizler, Gilles Godefroy, and Robert Deville. Smoothness and Renormings in Banach Spaces. Wiley & Sons, Incorporated, John, 1993.
Find full textBook chapters on the topic "Smoothness and renorming"
Guirao, Antonio José, Vicente Montesinos, and Václav Zizler. "Higher-order smoothness." In Renormings in Banach Spaces, 337–47. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08655-7_27.
Full textGuirao, Antonio José, Vicente Montesinos, and Václav Zizler. "Examples on C1-smoothness." In Renormings in Banach Spaces, 279–83. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08655-7_19.
Full textLindenstrauss, Joram, David Preiss, and Tiˇser Jaroslav. "Smoothness and Asymptotic Smoothness." In Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179). Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691153551.003.0008.
Full textLindenstrauss, Joram, David Preiss, and Tiˇser Jaroslav. "Smoothness, Convexity, Porosity, and Separable Determination." In Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179). Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691153551.003.0003.
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