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Banach limit and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Banach limit and applicationsGokulananda Das, Sudarsan Nanda.
作者:	Das, Gokulananda.
其他作者:	Nanda, Sudarsan.
出版者:	Boca Raton, FL :CRC Press,2022.
面頁冊數:	1 online resource (224 p.)
附註:	"A Chapman & Hall book."
標題:	Banach spaces.
電子資源:	https://www.taylorfrancis.com/books/9781003144090
ISBN:	9781003144090$q(ebook)

Banach limit and applications
Das, Gokulananda.

Banach limit and applications[electronic resource] /Gokulananda Das, Sudarsan Nanda. - 1st ed. - Boca Raton, FL :CRC Press,2022. - 1 online resource (224 p.)

"A Chapman & Hall book."

Includes bibliographical references and index.

Banach Limits and Applications provides all the results in the area of Banach limit, its extensions, generalizations and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in the year 1932 , are scattered till now. Sublinear functionals generating and dominating Banach Limit, unique Branch Limit (almost convergence), invariant means and invariant limits, absolute and strong almost convergence, applications to ergodicity, law of large number, Fourier series, uniform distribution of sequences, uniform density, core theorems, functional Banach limits are discussed in this book. Discovery of functional analysis such as Hahn-Banach theorem, Banach-Steinhaus Theorem helped the researchers to develop a modern, rich and unified theory of sequence spaces by enveloping classical summability theory via matrix transformation and the topics related to sequence spaces arose from the concept of Banach limit are presented in this book. The unique features of this book are as follows: It contains all the results in this area at one place which are scattered till now. The book is first of its kinds in the sense that there is no other competitive book . The contents of this monograph did not appear in any book form before. The audience of this book are the researchers in this area, the Ph.D. and advanced Masters students. The book is suitable for one or two semester course work for Ph. D. students, M.S. Students of North America and Europe, M. Phil and Masters Students of India.

ISBN: 9781003144090$q(ebook)Subjects--Topical Terms:

199048
Banach spaces.

LC Class. No.: QA322.2

Dewey Class. No.: 515/.732

Banach limit and applications
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300 $a 1 online resource (224 p.)
500 $a "A Chapman & Hall book."
504 $a Includes bibliographical references and index.
520 $a Banach Limits and Applications provides all the results in the area of Banach limit, its extensions, generalizations and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in the year 1932 , are scattered till now. Sublinear functionals generating and dominating Banach Limit, unique Branch Limit (almost convergence), invariant means and invariant limits, absolute and strong almost convergence, applications to ergodicity, law of large number, Fourier series, uniform distribution of sequences, uniform density, core theorems, functional Banach limits are discussed in this book. Discovery of functional analysis such as Hahn-Banach theorem, Banach-Steinhaus Theorem helped the researchers to develop a modern, rich and unified theory of sequence spaces by enveloping classical summability theory via matrix transformation and the topics related to sequence spaces arose from the concept of Banach limit are presented in this book. The unique features of this book are as follows: It contains all the results in this area at one place which are scattered till now. The book is first of its kinds in the sense that there is no other competitive book . The contents of this monograph did not appear in any book form before. The audience of this book are the researchers in this area, the Ph.D. and advanced Masters students. The book is suitable for one or two semester course work for Ph. D. students, M.S. Students of North America and Europe, M. Phil and Masters Students of India.
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