Series:

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

2 total works

Cover of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

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

Cover of Double Sequence Spaces and Four-Dimensional Matrices

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.