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

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. Read more