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.