Matrix Transformations on Analytic Sequence Spaces
Author: Roy Thomas Jacob
Publisher:
Published: 1974
Total Pages: 104
ISBN-13:
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Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties
Author: Feyzi Başar
Publisher: CRC Press
Published: 2020-02-25
Total Pages: 110
ISBN-13: 1351166905
DOWNLOAD EBOOKThe aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars Investigates different types of summable spaces and computes their duals Characterizes several matrix classes transforming one summable space into other Discusses several geometric properties of summable spaces Examines several possible generalizations of Orlicz sequence spaces
Double Sequence Spaces and Four-Dimensional Matrices
Author: Feyzi Başar
Publisher: CRC Press
Published: 2022-04-22
Total Pages: 467
ISBN-13: 1000594513
DOWNLOAD EBOOKDouble 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 Applications
Author: P.K Jain
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
Published: 1999-04-01
Total Pages: 158
ISBN-13: 8184872798
DOWNLOAD EBOOKThis 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,
Matrix Transformations in Sequence Spaces
Author: Peng Yee Lee
Publisher:
Published: 1975
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKSequence Spaces and Nonarchimedean Analysis
Author: Sudarsan Nanda
Publisher: Alpha Science International, Limited
Published: 2013
Total Pages: 0
ISBN-13: 9781842657331
DOWNLOAD EBOOKPresents the recent developments in the areas of sequence spaces, matrix transformations and nonarchimedean analysis. The topics covered include absolute and strong almost convergence, duality in sequence spaces, functional Banach limits, matrix transformations, valued fields, Banach spaces and Banach algebras over nonarchimedean fields. Although the book starts with basic concepts, most of the results presented here did not appear in any book before. Besides being used as a text for graduate students this book will be useful as a reference book for researchers working in this field.
Operators Between Sequence Spaces and Applications
Author: Bruno de Malafosse
Publisher: Springer Nature
Published: 2021-01-19
Total Pages: 379
ISBN-13: 9811597421
DOWNLOAD EBOOKThis 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 Space Theory with Applications
Author: S. A. Mohiuddine
Publisher: CRC Press
Published: 2022-07-20
Total Pages: 307
ISBN-13: 1000610047
DOWNLOAD EBOOKThe 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.
Matrix Transformations on Sequence Spaces of a Nonabsolute Type
Author: Peng Yee Lee
Publisher:
Published: 1978
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOKSequence Spaces and Applications
Author: Pawan K. Jain
Publisher: Alpha Science Int'l Ltd.
Published: 1999
Total Pages: 162
ISBN-13: 9788173192395
DOWNLOAD EBOOKThis 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.
