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Classical Sequences in Banach SPates

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Release : 1992-07-21
Genre : Mathematics
Kind : eBook
Book Rating : 233/5 ( reviews)

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Book Synopsis Classical Sequences in Banach SPates by : Sylvia Guerre-Delabriere

Download or read book Classical Sequences in Banach SPates written by Sylvia Guerre-Delabriere. This book was released on 1992-07-21. Available in PDF, EPUB and Kindle. Book excerpt:

Introductory Theory of Topological Vector SPates

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Release : 2019-01-25
Genre : Mathematics
Kind : eBook
Book Rating : 457/5 ( reviews)

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Book Synopsis Introductory Theory of Topological Vector SPates by : Yau-Chuen Wong

Download or read book Introductory Theory of Topological Vector SPates written by Yau-Chuen Wong. This book was released on 2019-01-25. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Sequence Spaces and Applications

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Author :
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 395/5 ( reviews)

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Book Synopsis Sequence Spaces and Applications by : Pawan K. Jain

Download or read book Sequence Spaces and Applications written by Pawan K. Jain. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains referred articles covering areas in classical as well as modern sequence space theory. The major topics covered are: classical sequence spaces; duals and matrix transformation; structure and topology; and applications. The book should be useful to postgraduates and the researchers working or intending to work in the areas of classical and the modern sequence space theory.

Calkin Algebras and Algebras of Operators on Banach SPates

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Release : 2017-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 776/5 ( reviews)

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Book Synopsis Calkin Algebras and Algebras of Operators on Banach SPates by : Caradus

Download or read book Calkin Algebras and Algebras of Operators on Banach SPates written by Caradus. This book was released on 2017-10-19. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.

Calkin Algebras and Algebras of Operators on Banach SPates

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Author :
Release : 2017-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 768/5 ( reviews)

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Book Synopsis Calkin Algebras and Algebras of Operators on Banach SPates by : Caradus

Download or read book Calkin Algebras and Algebras of Operators on Banach SPates written by Caradus. This book was released on 2017-10-19. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.

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