Double sequence spaces and four-dimensional matrices

Spaces of double sequences and series -- Some paranormed double sequence spaces -- Matrix domain in double sequence spaces -- Dual spaces of double sequence spaces -- Matrix transformations between double sequence spaces.

"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"--