Infinite Matrices And Sequence Spaces

Author : Richard G. Cooke
Publisher : Courier Corporation
ISBN 13 : 048678083X
Total Pages : 370 pages
Book Rating : 4.32/5 ( download)

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Download or read book Infinite Matrices and Sequence Spaces written by Richard G. Cooke and published by Courier Corporation. This book was released on 2014-07-16 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.

Author :
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.42/5 ( download)

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Download or read book Infinite Matrices and Sequence Spaces written by and published by . This book was released on 1950 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : R. G. Cooke
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.07/5 ( download)

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Download or read book Infinite Matrices and Sequence Spaces written by R. G. Cooke and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard G. Cooke
Publisher :
ISBN 13 :
Total Pages : 347 pages
Book Rating : 4.92/5 ( download)

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Download or read book Infinite Matrices and Sequence Spaces written by Richard G. Cooke and published by . This book was released on 1955 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Pawan K. Jain
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173192395
Total Pages : 162 pages
Book Rating : 4.91/5 ( download)

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Download or read book Sequence Spaces and Applications written by Pawan K. Jain and published by Alpha Science Int'l Ltd.. This book was released on 1999 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Charles Swartz
Publisher : World Scientific
ISBN 13 : 9810227361
Total Pages : 222 pages
Book Rating : 4.64/5 ( download)

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Download or read book Infinite Matrices and the Gliding Hump written by Charles Swartz and published by World Scientific. This book was released on 1996 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.

Author : Feyzi Başar
Publisher : CRC Press
ISBN 13 : 1351166913
Total Pages : 173 pages
Book Rating : 4.11/5 ( download)

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Download or read book Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties written by Feyzi Başar and published by CRC Press. This book was released on 2020-02-04 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 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

Author : P. K. Kamthan
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.35/5 ( download)

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Download or read book Sequence Spaces and Series written by P. K. Kamthan and published by . This book was released on 1981 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological vector spaces; Sequences spaces; Conservence of series; Further developments in sequences spaces.

Author : P.N. Shivakumar
Publisher : Springer
ISBN 13 : 3319301802
Total Pages : 118 pages
Book Rating : 4.08/5 ( download)

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Download or read book Infinite Matrices and Their Recent Applications written by P.N. Shivakumar and published by Springer. This book was released on 2016-06-20 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.

Author : I.J. Maddox
Publisher : Springer
ISBN 13 : 3540389466
Total Pages : 128 pages
Book Rating : 4.60/5 ( download)

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Download or read book Infinite Matrices of Operators written by I.J. Maddox and published by Springer. This book was released on 2006-11-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: