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Functional analysis : selected topics

By: jain, Pawan KMaterial type: Text

Contents:

A method of construction of Fréchet spaces / A.A. Albanese and V.B. Moscatelli -- Baire-type properties of spaces of continuous functions / Jerzy Kakol -- Topological algebras of infinite matrices / Wu Congxin and Lee Peng-Yee -- Relative numerical ranges in topological algebras / A.K. Gaur -- Topologization of algebras--the results and open problems / W. Zelazko -- The Eberlein-Šmulian theorem / Robert C. James -- Some recent breakthroughs in the theory of bases in Banach spaces / P.K. Jain and D.P. Sinha -- Projectional resolutions of the identity on Banach spaces / P.K. Jain, D.P. Sinha and K.K. Arora -- Three-space property of Kadec-Klee renorming in Banach spaces / Bor-Luh Lin and Wenyao Zhang -- Nuclear operators and the geometry of Banach spaces / M.A. Sofi -- Certain reflexive Banach spaces with no copy of l[subscript p] / Manuel Valdivia -- Composition operators and Hilbert space valued functions / S.C. Arora and M. Mukherjee -- Derivation pairs of operators on algebras of analytic functions / A.K. Gaur and N.R. Nandakumar -- Weighted composition operators on the space of entire functions / B.S. Komal and Sunil Gupta -- Invertibility of operators on locally convex spaces / R.K. Singh and J.S. Manhas -- Solution of variational inequalities by operator method of regularization / Khalil Ahmad and Akhtar A. Khan -- On a variational principle of Ekeland / Peter Z. Daffer and Hideaki Kaneko -- Minimax methods of Szuilkin's type in unilateral problems / D. Goeleven and D. Motreanu -- Lévy measures for symmetric stable semigroups on tours T[superscript infinity sign] / A. Bendikov -- Strictly convex functions on compact convex sets and applications / Gilles Godefroy and Daniel Li -- Order decompositions / Manjul Gupta and Kalika Kaushal -- Wavelets on the product of Euclidean hypergroup and Chébli-Trimèche hypergroup / L. Jaafar and K. Trimèche -- Recent trends in p-adic functional analysis / G. Rangan.

Summary: Focuses on various aspects of Banach Spaces, Hilbert Spaces, Operator Theory, Banach Algebras and Topological Vector Spaces. In this book, complete and detailed proof of all theorems is delineated.

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Reference Books	Main Library Reference	Reference	515.7 FUN (Browse shelf(Opens below))	Available		009589

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Previous	515.64 GUP Calculus of variations with applications	515.64 WEI Calculus of variations, with applications to physics and engineering.	515.7 BER Lectures in Functional Analysis and Operator Theory	515.7 FUN Functional analysis : selected topics	515.7 GOF First Course in Functional Analysis	515.7 KOL Elements of the theory of functions and functional analysis : volumes 1 and 2, two volumes bound as one	515.7 KRI Textbook of Functional Analysis: A Problem-Oriented Approach	Next

A method of construction of Fréchet spaces / A.A. Albanese and V.B. Moscatelli --
Baire-type properties of spaces of continuous functions / Jerzy Kakol --
Topological algebras of infinite matrices / Wu Congxin and Lee Peng-Yee --
Relative numerical ranges in topological algebras / A.K. Gaur --
Topologization of algebras--the results and open problems / W. Zelazko --
The Eberlein-Šmulian theorem / Robert C. James --
Some recent breakthroughs in the theory of bases in Banach spaces / P.K. Jain and D.P. Sinha --
Projectional resolutions of the identity on Banach spaces / P.K. Jain, D.P. Sinha and K.K. Arora --
Three-space property of Kadec-Klee renorming in Banach spaces / Bor-Luh Lin and Wenyao Zhang --
Nuclear operators and the geometry of Banach spaces / M.A. Sofi --
Certain reflexive Banach spaces with no copy of l[subscript p] / Manuel Valdivia --
Composition operators and Hilbert space valued functions / S.C. Arora and M. Mukherjee --
Derivation pairs of operators on algebras of analytic functions / A.K. Gaur and N.R. Nandakumar --
Weighted composition operators on the space of entire functions / B.S. Komal and Sunil Gupta --
Invertibility of operators on locally convex spaces / R.K. Singh and J.S. Manhas --
Solution of variational inequalities by operator method of regularization / Khalil Ahmad and Akhtar A. Khan --
On a variational principle of Ekeland / Peter Z. Daffer and Hideaki Kaneko --
Minimax methods of Szuilkin's type in unilateral problems / D. Goeleven and D. Motreanu --
Lévy measures for symmetric stable semigroups on tours T[superscript infinity sign] / A. Bendikov --
Strictly convex functions on compact convex sets and applications / Gilles Godefroy and Daniel Li --
Order decompositions / Manjul Gupta and Kalika Kaushal --
Wavelets on the product of Euclidean hypergroup and Chébli-Trimèche hypergroup / L. Jaafar and K. Trimèche --
Recent trends in p-adic functional analysis / G. Rangan.

Focuses on various aspects of Banach Spaces, Hilbert Spaces, Operator Theory, Banach Algebras and Topological Vector Spaces. In this book, complete and detailed proof of all theorems is delineated.

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