Summability Through Functional Analysis PDF Download
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Author: A. Wilansky
Publisher: Elsevier
ISBN: 9780080871967
Category : Mathematics
Languages : en
Pages : 317
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Book Description
Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.
Author: A. Wilansky
Publisher: Elsevier
ISBN: 9780080871967
Category : Mathematics
Languages : en
Pages : 317
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Book Description
Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.
Author: P.N. Natarajan
Publisher: CRC Press
ISBN: 1000191494
Category : Mathematics
Languages : en
Pages : 155
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Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: P.N. Natarajan
Publisher: CRC Press
ISBN: 1000191478
Category : Mathematics
Languages : en
Pages : 220
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Book Description
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.
Author: Hemen Dutta
Publisher: Springer
ISBN: 9811009139
Category : Mathematics
Languages : en
Pages : 436
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Book Description
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.
Author: Grahame Bennett
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Mohammad Mursaleen
Publisher: CRC Press
ISBN: 100004517X
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. It consists of several new results which are part of the recent research on these topics. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more. This book presents the important role sequences and series play in everyday life, it covers geometry of Banach Sequence Spaces, it discusses the importance of generalized limit, it offers spectrum and fine spectrum of several linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.
Author: Jeffery S. Connor
Publisher:
ISBN:
Category : Sequences (Mathematics)
Languages : en
Pages : 130
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Book Description
Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486318680
Category : Mathematics
Languages : en
Pages : 354
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Book Description
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.
Author: Hare Krishna Nigam
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659440045
Category :
Languages : en
Pages : 132
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Book Description
Summability theory is originally based on classical analytic method, but is strongly influenced by modern functional analytic method. Functional analysis approach to summability has greatly influenced the various applications of summability in, for example, approximation theory. The current development in the subject is further encouraging the students and researchers to have some new findings in this subject.
