Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

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