Description: Banach Limit and Applications, Hardcover by Das, Gokulananda; Nanda, Sudarsan, ISBN 036769865X, ISBN-13 9780367698652, Brand New, Free shipping in the US 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. Th is first of its kinds in the sense that there is no other competitiv . 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 . and advanced Masters students. Th is suitable for one or two semester course work for Ph. D. students, . Students of North America and Europe, M. Phil and Masters Students of India.
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Book Title: Banach Limit and Applications
Author: Das, Gokulananda; Nanda, Sudarsan
Language: english
