Double Sequence Spaces and Four-Dimensional Matrices (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

by: Feyzi Başar (Author),Medine Yeşilkayagil Savaşcı(Author)

Publisher:

Edition: 1st

Publication Date: 2022/6/15

Language: English

Print Length: 234 pages

ISBN-10: 1032250240

ISBN-13: 9781032250243

Book Description

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 researchersInvestigates 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.

About the Author

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 researchersInvestigates 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.