Some Applications Of Functional Analysis To Summability Theory

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Some Applications Of Functional Analysis To Summability Theory

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Author : Jeffery S. Connor
language : en
Publisher:
Release Date : 1985

Some Applications Of Functional Analysis To Summability Theory written by Jeffery S. Connor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Sequences (Mathematics) categories.

Some Applications Of Functional Analysis Of Summability Theory And Bases In F And Lf Spaces

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Author : Grahame Bennett
language : en
Publisher:
Release Date : 1970

Some Applications Of Functional Analysis Of Summability Theory And Bases In F And Lf Spaces written by Grahame Bennett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.

Functional Analysis And Summability

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Author : P.N. Natarajan
language : en
Publisher: CRC Press
Release Date : 2020-09-07

Functional Analysis And Summability written by P.N. Natarajan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-07 with Mathematics categories.

There are excellent books on both functional analysis and summability. Most of them are very terse. In Functional Analysis and Summability, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book, the Hahn–Banach theorem, Banach–Steinhaus theorem (or uniform boundedness principle), the open mapping theorem, the closed graph theorem, and the Riesz representation theorem are highlighted. In the summability component of the book, the Silverman–Toeplitz theorem, Schur’s theorem, the Steinhaus theorem, and the Steinhaus-type theorems are proved. The utility of functional analytic tools like the uniform boundedness principle to prove some results in summability theory is also pointed out. Features A gentle introduction of the topics to the students is attempted. Basic results of functional analysis and summability theory and their applications are highlighted. Many examples are provided in the text. Each chapter ends with useful exercises. This book will be useful to postgraduate students, pre-research level students, and research scholars in mathematics. Students of physics and engineering will also find this book useful since topics in the book also have applications in related areas.

Some Applications Of Functional Analysis In Mathematical Physics

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Author : S. L. Sobolev
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-04-14

Some Applications Of Functional Analysis In Mathematical Physics written by S. L. Sobolev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-14 with categories.

Special problems of functional analysis Variational methods in mathematical physics The theory of hyperbolic partial differential equations Comments Appendix: Methode nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales Comments on the appendix Bibliography Index

Summability Theory And Its Applications

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Author : Feyzi Başar
language : en
Publisher: CRC Press
Release Date : 2022-06-27

Summability Theory And Its Applications written by Feyzi Başar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-27 with Mathematics categories.

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content can readily serve as a reference or as a useful series of lecture notes on the subject. This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7. Features Investigates different types of summable spaces and computes their dual Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.

Current Topics In Summability Theory And Applications

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Author : Hemen Dutta
language : en
Publisher: Springer
Release Date : 2016-04-28

Current Topics In Summability Theory And Applications written by Hemen Dutta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-28 with Mathematics categories.

This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors are eminent scientists, researchers and scholars in their respective fields, and hail from around the world. The book can be used as a textbook for graduate and senior undergraduate students, and as a valuable reference guide for researchers and practitioners in the fields of summability theory and functional analysis. Summability theory is generally used in analysis and applied mathematics. It plays an important part in the engineering sciences, and various aspects of the theory have long since been studied by researchers all over the world.

Sequence Space Theory With Applications

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Author : S. A. Mohiuddine
language : en
Publisher: CRC Press
Release Date : 2022-07-20

Sequence Space Theory With Applications written by S. A. Mohiuddine and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-20 with Mathematics categories.

The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc., and illustrate their involvement in various applications. The preliminaries have been presented in the beginning of each chapter and then the advanced discussion takes place, so it is useful for both expert and nonexpert on aforesaid topics. The book consists of original thirteen research chapters contributed by the well-recognized researchers in the field of sequence spaces with associated applications. Features Discusses the Fibonacci and vector valued difference sequence spaces Presents the solution of Volterra integral equation in Banach algebra Discusses some sequence spaces involving invariant mean and related to the domain of Jordan totient matrix Presents the Tauberian theorems of double sequences Discusses the paranormed Riesz difference sequence space of fractional order Includes a technique for studying the existence of solutions of infinite system of functional integro-differential equations in Banach sequence spaces The subject of book is an active area of research of present time internationally and would serve as a good source for researcher and educators involved with the topic of sequence spaces.

Linear Functional Analysis

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Author : Peng Yee Lee
language : en
Publisher: World Scientific
Release Date : 1992-06-19

Linear Functional Analysis written by Peng Yee Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-19 with Mathematics categories.

With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The orignal edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the results of special interest to the Polish school, and others which are not easily available elsewhere. Orlicz provided in this book some rare insight and motivation in the subject which was initiated by the Polish school. An addendum to some recent results in Orlicz spaces is included.

Classical And Discrete Functional Analysis With Measure Theory

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Author : Martin Buntinas
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-20

Classical And Discrete Functional Analysis With Measure Theory written by Martin Buntinas and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-20 with Mathematics categories.

This advanced undergraduate/beginning graduate text covers measure theory and discrete aspects of functional analysis, with 760 exercises.

Linear Functional Analysis

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Author : W?adys?aw Orlicz
language : en
Publisher: World Scientific
Release Date : 1992

Linear Functional Analysis written by W?adys?aw Orlicz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The orignal edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the results of special interest to the Polish school, and others which are not easily available elsewhere. Orlicz provided in this book some rare insight and motivation in the subject which was initiated by the Polish school. An addendum to some recent results in Orlicz spaces is included.