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1

Gaussian Hilbert spaces. Cambridge, U.K: Cambridge University Press, 1997.

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2

Debnath, Lokenath. Hilbert spaces with applications. 3rd ed. Oxford: Academic, 2005.

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3

Mlak, W. Hilbert spaces and operator theory. Dordrecht: Boston, 1991.

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4

Mashreghi, Javad. Hilbert spaces of analytic functions. Providence, R.I: American Mathematical Society, 2010.

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5

Mashreghi, Javad. Hilbert spaces of analytic functions. Providence, R.I: American Mathematical Society, 2010.

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6

Javad, Mashreghi, Ransford Thomas, and Seip Kristian 1962-, eds. Hilbert spaces of analytic functions. Providence, R.I: American Mathematical Society, 2010.

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7

Banach-Hilbert spaces, vector measures, and group representations. River Edge, NJ: World Scientific, 2002.

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8

Sarason, Donald. Sub-Hardy Hilbert spaces in the unit disk. New York: Wiley, 1994.

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9

Simon, Jacques. Banach, Fréchet, Hilbert and Neumann Spaces. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2017. http://dx.doi.org/10.1002/9781119426516.

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10

1964-, McCarthy John E., ed. Pick interpolation and Hilbert function spaces. Providence, R.I: American Mathematical Society, 2002.

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11

Piotr, Mikusiński, ed. Introduction to Hilbert spaces with applications. Boston: Academic Press, 1990.

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12

Debnath, Lokenath. Introduction to Hilbert spaces with applications. Boston: Academic Press, 1990.

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13

Introduction to Hilbert spaces with applications. 3rd ed. Burlington, MA: Elsevier Academic, 2005.

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14

Debnath, Lokenath. Introduction to Hilbert spaces with applications. 2nd ed. San Diego: Academic Press, 1999.

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15

service), SpringerLink (Online, ed. Spectral Theory of Operators on Hilbert Spaces. Boston: Birkhäuser Boston, 2012.

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16

Vasudeva, Harkrishan Lal. Elements of Hilbert Spaces and Operator Theory. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3020-8.

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17

Dias, Danielle, and Patrick Le Barz. Configuration Spaces over Hilbert Schemes and Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0093653.

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18

Kubrusly, Carlos S. Spectral Theory of Operators on Hilbert Spaces. Boston: Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8328-3.

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19

Steeb, W. H. Hilbert spaces, generalized functions and quantum mechanics. Mannheim: BI-Wissenschaftsverlag, 1991.

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20

Dias, Danielle. Configuration spaces over Hilbert schemes and applications. Berlin: Springer, 1996.

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21

1941-, Rosenthal Peter, ed. An introduction to operators on the Hardy-Hilbert space. New York, N.Y: Springer, 2007.

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22

Pisier, Gilles. The operator Hilbert space OH, complex interpolation, and tensor norms. Providence, R.I: American Mathematical Society, 1996.

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23

Berlinet, Alain, and Christine Thomas-Agnan. Reproducing Kernel Hilbert Spaces in Probability and Statistics. Boston, MA: Springer US, 2004. http://dx.doi.org/10.1007/978-1-4419-9096-9.

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24

Bohm, Arno, Heinz-Dietrich Doebner, and Piotr Kielanowski, eds. Irreversibility and Causality Semigroups and Rigged Hilbert Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0106772.

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25

Christine, Thomas-Agnan, ed. Reproducing kernel Hilbert spaces in probability and statistics. Boston: Kluwer Academic, 2004.

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26

Small, Christopher G. Hilbert space methods in probability andstatistical inference. New York: Wiley, 1994.

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27

Wysocki, Włodzimierz. Geometrical aspects of measures of dependence for random vectors. Warsaw: Institute of Computer Science, Polish Academy of Sciences, 1988.

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28

Christian, Le Merdy, ed. Operator algebras and their modules: An operator space approach. Oxford: Clarendon, 2004.

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29

Diagana, Toka. Non-archimedean linear operators and applications. Hauppauge, N.Y: Nova Science, 2008.

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30

Janson, Svante. Gaussian Hilbert Spaces. Cambridge University Press, 2011.

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31

Janson, Svante. Gaussian Hilbert Spaces. Cambridge University Press, 2008.

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32

Janson, Svante. Gaussian Hilbert Spaces. Cambridge University Press, 2009.

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33

Constantinescu, Corneliu. Hilbert Spaces Vol. 4. Elsevier Science & Technology Books, 2001.

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34

Sołtan, Piotr. A Primer on Hilbert Space Operators. Birkhäuser, 2018.

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35

Hilbert Spaces and Operators on Hilbert Spaces Functional Analysis Examples c-3. Bookboon, 2013.

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36

Hilbert Spaces and Operators on Hilbert Spaces Functional Analysis Examples c-3. Bookboon, 2013.

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37

Hilbert Spaces and Operators on Hilbert Spaces Functional Analysis Examples c-3. Bookboon.com, 2013.

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38

Hilbert Spaces and Operators on Hilbert Spaces Functional Analysis Examples c-3. Bookboon.com, 2013.

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39

Simon, Jacques. Banach, Frechet, Hilbert and Neumann Spaces. Wiley & Sons, Incorporated, John, 2017.

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40

Simon, Jacques. Banach, Fréchet, Hilbert and Neumann Spaces. Wiley & Sons, Incorporated, John, 2017.

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41

Simon, Jacques. Banach, Frechet, Hilbert and Neumann Spaces. Wiley & Sons, Incorporated, John, 2017.

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42

Simon, Jacques. Banach, Frechet, Hilbert and Neumann Spaces. Wiley & Sons, Incorporated, John, 2017.

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43

Edmunds, D. E., and W. D. Evans. Sesquilinear Forms in Hilbert Spaces. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0004.

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Abstract:
The centre-pieces of this chapter are the Lax–Milgram Theorem and the existence of weak or variational solutions to problems involving sesquilinear forms. An important application is to Kato’s First Representation Theorem, which associates a unique m-sectorial operator with a closed, densely defined sesquilinear form, thus extending the Friedrichs extension for a lower bounded symmetric operator. Stampacchia’s generalization of the Lax–Milgram Theorem to variational inequalities is also discussed.
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44

Hilbert Spaces: Properties and Applications. Nova Science Publishers, Incorporated, 2019.

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45

Argyros, Michael. Hilbert Spaces and Its Applications. Nova Science Publishers, Incorporated, 2021.

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46

Weidmann, Joachim, and Joseph Szücs. Linear Operators in Hilbert Spaces. Springer London, Limited, 2012.

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47

Argyros, Michael. Hilbert Spaces and Its Applications. Nova Science Publishers, Incorporated, 2021.

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48

Ho, Le Bin. Hilbert Spaces: Properties and Applications. Nova Science Publishers, Incorporated, 2020.

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49

Weidmann, Joachim, and Joseph Szücs. Linear Operators in Hilbert Spaces. Springer, 2012.

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50

Sarason, Donald. Sub-Hardy Hilbert Spaces in the Unit Disk. Wiley & Sons, Incorporated, John, 1994.

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