A Study of Triple Sequence Spaces

K.N. Subramanian

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A Study of Triple Sequence SpacesThis book completely deals with the study of convergence of triple sequences. The concept of convergence is probably the most valuable notion in order to get a limit of a non convergent bounded sequence. There is one more idea of convergence called statistical convergence, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This thought arises as an example of 'covergence in desity' which is also premeditated as a summability method. Even unbounded sequences can be dealt with by by means of this method. And the other convergence is 'Ideal Convergence' which is a generalization of statiscal convergence which was introduced first by Kostrko. The book also discusses the applications of triple sequence in many theories such as fuzzy theory, Gai Convergence. Written in a self-reliant style, the book discusses in feature the methods of statistical convergence for triple sequences along with applications and appropriate examples. This book is aimed at both experts and non-experts with a concern in getting familiar with sequence spaces and their applications. It consists of numerous new results which are part of modern research on these topics. It provides different points of view in one volume, e.g. their topological properties and fuzzy valued study and more.This book presents the significant role of series and sequences play ineveryday life, it covers a lot of geometry on triple Sequence Spaces, it discusses the significance of generalized limit, it offers variety and well spectrum of numerous linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main desirability for those who work in Triple Sequence Spaces and would also provide as a good cause of suggestion for those involved with any topic of Functional Analysis.