Operators Between Sequence Spaces and Applications
Operators Between Sequence Spaces and Applications

Author: Bruno de Malafosse

Publisher: Springer Nature

Published: 2021-01-19

Total Pages: 379

ISBN-13: 9811597421

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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.

Sequence Spaces and Applications
Sequence Spaces and Applications

Author: Pawan K. Jain

Publisher: Alpha Science Int'l Ltd.

Published: 1999

Total Pages: 162

ISBN-13: 9788173192395

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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; and applications. The book should be useful to postgraduates and the researchers working or intending to work in the areas of classical and the modern sequence space theory.

Summability Theory And Its Applications
Summability Theory And Its Applications

Author: Feyzi Basar

Publisher: Bentham Science Publishers

Published: 2012-09-07

Total Pages: 410

ISBN-13: 1608052524

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The theory of summability has many uses throughout analysis and applied mathematics. Engineers and physicists working with Fourier series or analytic continuation will also find the concepts of summability theory valuable to their research. The concepts of summability have been extended to the sequences of fuzzy numbers and also to the theorems of ergodic theory. This ebook explains various aspects of summability and demonstrates applications in a coherent manner. The content can readily serve as a useful series of lecture notes on the subject. This ebook comprises of 8 chapters starting from classical sequence spaces and covering matrix transformations and fuzzy numbers. An accompanying bibliography with extensive references makes this a valuable source of information for readers interested in summability theory as well as other branches of science.

Summability Theory and Its Applications
Summability Theory and Its Applications

Author: Feyzi Başar

Publisher: CRC Press

Published: 2022-06-27

Total Pages: 521

ISBN-13: 1000599140

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Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content can readily serve as a reference or as a useful series of lecture notes on the subject. This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7. Features Investigates different types of summable spaces and computes their dual Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.

Summability Through Functional Analysis
Summability Through Functional Analysis

Author: A. Wilansky

Publisher: Elsevier

Published: 2000-04-01

Total Pages: 331

ISBN-13: 0080871968

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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.

Advanced Functional Analysis
Advanced Functional Analysis

Author: Eberhard Malkowsky

Publisher: CRC Press

Published: 2019-02-25

Total Pages: 586

ISBN-13: 0429809549

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Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research. Features Written in a concise and fluent style Covers a broad range of topics Includes related topics from research