Sequence Spaces


Sequence Spaces
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Sequence Spaces And Applications


Sequence Spaces And Applications
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Author : P.K Jain
language : en
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
Release Date : 1999-04-01

Sequence Spaces And Applications written by P.K Jain and has been published by ALPHA SCIENCE INTERNATIONAL LIMITED this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-01 with Mathematics categories.


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,



Sequence Spaces And Series


Sequence Spaces And Series
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Author : P. K. Kamthan
language : en
Publisher:
Release Date : 1981

Sequence Spaces And Series written by P. K. Kamthan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Computers categories.


Topological vector spaces; Sequences spaces; Conservence of series; Further developments in sequences spaces.



Sequence Spaces


Sequence Spaces
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Author : William H. Ruckle
language : en
Publisher: Pitman Publishing
Release Date : 1981

Sequence Spaces written by William H. Ruckle and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.


Introduction, basic properties; Kothe sequences spaces; Topologies on sequences spaces; Mappings between sequences spaces; Topics from summability theory.



Sequence Spaces


Sequence Spaces
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Author : Mohammad Mursaleen
language : en
Publisher: CRC Press
Release Date : 2020-03-10

Sequence Spaces written by Mohammad Mursaleen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-10 with Mathematics categories.


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.



Classical Banach Spaces I


Classical Banach Spaces I
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Author : J. Lindenstrauss
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Classical Banach Spaces I written by J. Lindenstrauss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous research ever since. In the sixties, and especially in the last decade, the research activity in this area grew considerably. As a result, Ban:ach space theory gained very much in depth as well as in scope: Most of its well known classical problems were solved, many interesting new directions were developed, and deep connections between Banach space theory and other areas of mathematics were established. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces. We did not attempt to write a comprehensive survey of Banach space theory, or even only of the theory of classical Banach spaces, since the amount of interesting results on the subject makes such a survey practically impossible.



Sequence Space Theory With Applications


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.



Approximation Theory Sequence Spaces And Applications


Approximation Theory Sequence Spaces And Applications
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Author : S. A. Mohiuddine
language : en
Publisher: Springer Nature
Release Date : 2022-12-07

Approximation Theory Sequence Spaces And Applications written by S. A. Mohiuddine and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-07 with Mathematics categories.


This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.



Operators Between Sequence Spaces And Applications


Operators Between Sequence Spaces And Applications
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Author : Bruno de Malafosse
language : en
Publisher: Springer Nature
Release Date : 2021-01-19

Operators Between Sequence Spaces And Applications written by Bruno de Malafosse and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-19 with Mathematics categories.


This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these operators. In order to make it self-contained, comprehensive and of interest to a larger mathematical community, the authors have presented necessary concepts with results for advanced research topics. This book is intended for graduate and postgraduate students, teachers and researchers as a basis for further research, advanced lectures and seminars.



Double Sequence Spaces And Four Dimensional Matrices


Double Sequence Spaces And Four Dimensional Matrices
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Author : Feyzi Başar
language : en
Publisher: CRC Press
Release Date : 2022-04-22

Double Sequence Spaces And Four Dimensional Matrices 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 2022-04-22 with Mathematics categories.


Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties. The book then goes beyond this to investigate paranormed double sequence spaces and their algebraic and topological properties, triangle matrices and their domains in certain spaces of double sequences, dual spaces of double sequence spaces, and matrix transformations between double sequence spaces and related topics. Each chapter contains a conclusion section highlighting the importance of results and pointing out possible new ideas that can be studied further. Features Suitable for students at graduate or post-graduate level and researchers Investigates different types of summable spaces and computes their duals Characterizes several four-dimensional matrix classes transforming one summable space into other Discusses several algebraic and topological properties of new sequence spaces generated by the domain of triangles.



Sequence Spaces And Summability Over Valued Fields


Sequence Spaces And Summability Over Valued Fields
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Author : P. N. Natarajan
language : en
Publisher: CRC Press
Release Date : 2019-07-09

Sequence Spaces And Summability Over Valued Fields 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 2019-07-09 with Mathematics categories.


Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean). The book presents theory and methods in the chosen topic, spread over 8 chapters that seem to be important at research level in a still developing topic. Key Features Presented in a self-contained manner Provides examples and counterexamples in the relevant contexts Provides extensive references at the end of each chapter to enable the reader to do further research in the topic Presented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory Appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory The book is written by a very experienced educator and researcher in Mathematical Analysis particularly Summability Theory.