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Infinite Matrices And Sequence Spaces
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Book Synopsis Infinite Matrices and Sequence Spaces by : Richard G. Cooke
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.
Book Synopsis Infinite Matrices and Sequence Spaces by : R. G. Cooke
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:
Book Synopsis Infinite Matrices and Sequence Spaces by :
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:
Book Synopsis Infinite Matrices and Sequence Spaces by : Richard G. Cooke
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:
Book Synopsis Sequence Spaces and Applications by : Pawan K. Jain
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.
Book Synopsis Infinite Matrices and Sequence Space by : Richard G. Cooke
Download or read book Infinite Matrices and Sequence Space written by Richard G. Cooke and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Infinite Matrices and Sequences Spaces by : Richard G. Cooke
Download or read book Infinite Matrices and Sequences Spaces written by Richard G. Cooke and published by . This book was released on 1966 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties by : Feyzi Başar
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
Book Synopsis Infinite Matrices and Their Recent Applications by : P.N. Shivakumar
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 124 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.
Book Synopsis Infinite Matrices and the Gliding Hump by : Charles Swartz
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.
Book Synopsis Infinite Matrices and Compact Operators on Sequence Spaces by : Abdullah K. Noman
Download or read book Infinite Matrices and Compact Operators on Sequence Spaces written by Abdullah K. Noman and published by LAP Lambert Academic Publishing. This book was released on 2011-07 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In modern analysis, the subject matter of functional analysis includes the study of abstract spaces, operators and transformations of these spaces, which provides a general framework for finding solutions of various problems in applied mathematics and physics. These abstract spaces include the sequence spaces as important special cases and this book is the result of many research papers which represent an original contribution to the theory of sequence spaces and infinite matrices with their matrix transformations. So, the present book can help in improving the reader's research abilities in this area.The main aim of this book is to generalize some classical methods of summability, introduce some new sequence spaces and study their topological properties, duals and matrix transformations, and characterize some classes of compact operators on these spaces which can be obtained as an application of the Hausdorff measure of noncompactness.
Book Synopsis Infinite Matrices of Operators by : I.J. Maddox
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:
Book Synopsis Double Sequence Spaces and Four-Dimensional Matrices by : Feyzi Başar
Download or read book Double Sequence Spaces and Four-Dimensional Matrices written by Feyzi Başar and published by CRC Press. This book was released on 2022-04-22 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Double 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.
Book Synopsis Some New Results Concerning Banach Spaces of Infinite Matrices and Lorentz Sequence Spaces by : Anca-Nicoleta Marcoci
Download or read book Some New Results Concerning Banach Spaces of Infinite Matrices and Lorentz Sequence Spaces written by Anca-Nicoleta Marcoci and published by . This book was released on 2010 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sequence Spaces by : Mohammad Mursaleen
Download or read book Sequence Spaces written by Mohammad Mursaleen and published by CRC Press. This book was released on 2020-03-10 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. It consists of several new results which are part of the recent research on these topics. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more. This book presents the important role sequences and series play in everyday life, it covers geometry of Banach Sequence Spaces, it discusses the importance of generalized limit, it offers spectrum and fine spectrum of several linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.
Book Synopsis Double Sequence Spaces and the Difference Operator by : Bipul Sarma
Download or read book Double Sequence Spaces and the Difference Operator written by Bipul Sarma and published by LAP Lambert Academic Publishing. This book was released on 2011-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term sequence has a great role in real Analysis. The generalized notion of single sequences are the double sequences. Every double sequence is an infinite matrix. various types of linear spaces of double sequences are constucted and studied their properties. The difference operator is used on the double sequences to construct a new double sequence. The double sequences may be bounded, unbounded, convergent, non-convergent or some other. Depending on the behaviour of the sequences the sequence spaces are constructed and some properties of functional analysis are established. The book intends the role of infinite matrices to construct sequence spaces. Efforts have been done for the readers belonging to Analysis, Linear algebra and functional analysis. The studies on double sequence spaces are new in functional analysis. A few works have been done on the studies of difference double sequence spaces. Hope that readers will be benefited for introducing new ideas from this book. A complete development on the studies of double sequences and difference operator is depicted in the first chapter of the book. In the remaining two chapters some new results are added.
Book Synopsis Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations by : Józef Banaś
Download or read book Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations written by Józef Banaś and published by Springer. This book was released on 2014-07-18 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are applied to characterize the compact matrix operators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential and integral equations, which are obtained with the help of argumentations based on compactness conditions.
