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Operators Between Sequence Spaces and Applications

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Release : 2021-01-19
Genre : Mathematics
Kind : eBook
Book Rating : 421/5 ( reviews)

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Book Synopsis Operators Between Sequence Spaces and Applications by : Bruno de Malafosse

Download or read book Operators Between Sequence Spaces and Applications written by Bruno de Malafosse. This book was released on 2021-01-19. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 395/5 ( reviews)

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Book Synopsis Sequence Spaces and Applications by : Pawan K. Jain

Download or read book Sequence Spaces and Applications written by Pawan K. Jain. This book was released on 1999. 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.

Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

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Release : 2014-07-18
Genre : Mathematics
Kind : eBook
Book Rating : 868/5 ( reviews)

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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. This book was released on 2014-07-18. 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.

Approximation Theory, Sequence Spaces and Applications

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Release : 2022-12-07
Genre : Mathematics
Kind : eBook
Book Rating : 166/5 ( reviews)

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Book Synopsis Approximation Theory, Sequence Spaces and Applications by : S. A. Mohiuddine

Download or read book Approximation Theory, Sequence Spaces and Applications written by S. A. Mohiuddine. This book was released on 2022-12-07. Available in PDF, EPUB and Kindle. Book excerpt: This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.

Sequence Space Theory with Applications

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Release : 2022-07-20
Genre : Mathematics
Kind : eBook
Book Rating : 047/5 ( reviews)

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Book Synopsis Sequence Space Theory with Applications by : S. A. Mohiuddine

Download or read book Sequence Space Theory with Applications written by S. A. Mohiuddine. This book was released on 2022-07-20. Available in PDF, EPUB and Kindle. Book excerpt: The 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.

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