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Books on the topic 'Normed linear spaces and Banach spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 July 2024

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1

Michal, Johanis, ed. Smooth analysis in Banach spaces. Berlin: De Gruyter, 2014.

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2

Deville, R. Smoothness and renormings in Banach spaces. Harlow, Essex, England: Longman Scientific & Technical, 1993.

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3

Deville, Robert. Smoothness and renormings in Banach spaces. Harlow: Longman Scientific and Technical, 1993.

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4

Verheul, E. R. Multimedians in metric and normed spaces. Amsterdam, the Netherlands: Centrum voor Wiskunde en Informatica, 1993.

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5

Bennett, Grahame. Factorizing the classical inequalities. Providence, R.I: American Mathematical Society, 1996.

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6

Conference on Function Spaces (7th 2014 Southern Illinois University at Edwardsville). Function spaces in analysis: 7th Conference on Function Spaces, May 20-24, 2014, Southern Illinois University, Edwardsville, Illinois. Edited by Jarosz Krzysztof 1953 editor. Providence, Rhode Island: American Mathematical Society, 2015.

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7

1963-, Giannopoulos Apostolos, and Milman Vitali D. 1939-, eds. Asymptotic geometric analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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8

Krzysztof, Jarosz, ed. Function spaces in modern analysis: Sixth Conference on Function Spaces, May 18-22, 2010, Southern Illinois University, Edwardsville. Providence, R.I: American Mathematical Society, 2011.

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9

Haydon, R. Randomly normed spaces. Paris: Hermann Editeurs des Sciences et des Arts, 1991.

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10

Guillén, Bernardo Lafuerza. Probabilistic normed spaces. Hackensack, NJ: Imperial College Press, 2014.

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11

Bartle, R. G., N. T. Peck, A. L. Peressini, and J. J. Uhl, eds. Geometry of Normed Linear Spaces. Providence, Rhode Island: American Mathematical Society, 1986. http://dx.doi.org/10.1090/conm/052.

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12

Mukherjea, Kalyan. Differential Calculus in Normed Linear Spaces. Gurgaon: Hindustan Book Agency, 2007. http://dx.doi.org/10.1007/978-93-86279-34-7.

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13

Coleman, Rodney. Calculus on Normed Vector Spaces. New York, NY: Springer New York, 2012.

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14

Korevaar, Jacob. Mathematical methods: Linear algebra, normed spaces, distributions, integration. Mineola, N.Y: Dover Publications, 2008.

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15

Edmunds, David E., and W. Desmond Evans. Representations of Linear Operators Between Banach Spaces. Basel: Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0642-8.

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16

Odyniec, Włodzimierz. Proektory i bazisy v normirovannykh prostranstvakh: Uchebnoe posobie. S.-Peterburg: Izd-vo RGPU im. A.I. Gert︠s︡ena, 1998.

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17

Ghandehari, Mostafa. Snell's law in normed linear planes. Arlington: Dept. of Mathematics, University of Texas at Arlington, 1997.

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18

Milman, Vitali D. Asymptotic theory of finite dimensional normed spaces. 2nd ed. Berlin: Springer, 2001.

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19

Alsina, Claudi. Norm derivatives and characterizations of inner product spaces. Singapore: World Scientific, 2010.

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20

Beer, Gerald Alan. Topologies on closed and closed convex sets. Dordrecht: Kluwer Academic Publishers, 1993.

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21

Conference Board of the Mathematical Sciences., ed. Factorization of linear operators and geometry of Banach spaces. Providence, R.I: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 1986.

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22

Matter-Cho, Urs. Absolutely continuous operators and super-reflexivity. Zürich: Zentralstelle der Studentenschaft, 1985.

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23

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

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24

Constantinescu, T. Schur parameters, factorization, and dilation problems. Basel: Birkhäuser Verlag, 1996.

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25

Ghandehari, Mostafa. Controlling curvature in the Minkowski plane. Arlington: Dept. of Mathematics, University of Texas at Arlington, 1997.

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26

Johanis, Michal, and Petr Hájek. Smooth Analysis in Banach Spaces. de Gruyter GmbH, Walter, 2014.

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27

Johanis, Michal, and Petr Hájek. Smooth Analysis in Banach Spaces. de Gruyter GmbH, Walter, 2014.

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28

Smooth Analysis in Banach Spaces. De Gruyter, Inc., 2014.

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29

Zizler, Gilles Godefroy, and Robert Deville. Smoothness and Renormings in Banach Spaces. Wiley & Sons, Incorporated, John, 1993.

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30

Kothe-Bochner Function Spaces. Birkhäuser Boston, 2003.

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31

Tolias, Andreas, and S. Argyros. Methods in the Theory of Hereditarily Indecomposable Banach Spaces (Memoirs of the American Mathematical Society). American Mathematical Society, 2004.

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32

Bonsall, F. F., and Duncan J. Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras. Cambridge University Press, 2013.

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33

Zaslavski, Alexander J. Optimization on Metric and Normed Spaces. Springer, 2012.

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34

Haagerup, U., H. P. Rosenthal, and F. A. Sukochev. Banach Embedding Properties of Non-Commutative Lp-Spaces (Memoirs of the American Mathematical Society). American Mathematical Society, 2003.

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35

Zaslavski, Alexander J. Optimization on Metric and Normed Spaces. Springer, 2010.

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36

Optimization on metric and normed spaces. New York: Springer, 2010.

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37

Bonsall, F. F., and Duncan J. Numerical Ranges II. Cambridge University Press, 2013.

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38

Bonsall, F. F., and Duncan J. Numerical Ranges II. Cambridge University Press, 2013.

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39

Jaëck, Frédéric. Generality and structures in functional analysis: the influence of Stefan Banach. Edited by Karine Chemla, Renaud Chorlay, and David Rabouin. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198777267.013.7.

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Abstract:

This article examines Stefan Banach’s contributions to the field of functional analysis based on the concept of structure and the multiply-flvored expression of generality that arises in his work on linear operations. More specifically, it discusses the two stages in the process by which Banach elaborated a new framework for functional analysis where structures were bound to play an essential role. It considers whether Banach spaces, or complete normed vector spaces, were born in Banach’s first paper, the 1922 doctoral dissertation On operations on abstract spaces and their application to integral equations. It also analyzes what appears to be the core of Banach’s 1922 article and the transformation into a general setting that it represents. The main achievements of Banach’s dissertation, as well as all the essential features that bear witness to the birth of a new theory, are concentrated in the study of linear operations.

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40

Function Theory and $ Ell ^p$ Spaces. American Mathematical Society, 2020.

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41

Day, Mahlon Marsh. Normed Linear Spaces. Springer London, Limited, 2013.

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42

Day, Mahlon M. Normed Linear Spaces. Springer Berlin / Heidelberg, 2013.

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43

Day, Mahlon M. Normed Linear Spaces. Springer London, Limited, 2013.

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44

Normed Linear Spaces. Springer London, Limited, 2013.

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45

Edmunds, D. E., and W. D. Evans. Linear Operators in Banach Spaces. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0001.

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Abstract:

Three main themes run through this chapter: compact linear operators, measures of non-compactness, and Fredholm and semi-Fredholm maps. Connections are established between these themes so as to derive important results later in the book.

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46

Linear Equations in Banach Spaces. Birkhäuser Boston, 2014.

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47

KREIN. Linear Equations in Banach Spaces. Birkhauser Verlag, 2012.

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48

Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory. American Mathematical Society, 2017.

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49

Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory. American Mathematical Society, 2017.

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50

Cho, Yeol Je, and Raymond W. Freese. Geometry of Linear 2-Normed Spaces. Nova Science Publishers, 2001.

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