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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.
Spaces of Double Sequencesand Series
Some Paranormed Double Sequence Spaces
Matrix Domainin Double Sequence Spaces
Dual Spacesof Double Sequence Spaces
Matrix Transformations Between Double Sequence Spaces