Nandita Rath, "Topological duals of some paranormed sequence spaces", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 859016, 15 pages, 2003. https://doi.org/10.1155/S0161171203210590
Topological duals of some paranormed sequence spaces
Let be a bounded positive sequence and let be an infinite matrix with all . For normed spaces and , the matrix generates the paranormed sequence spaces , , and , which generalise almost all the well-known sequence spaces such as , , , , and . In this paper, topological duals of these paranormed sequence spaces are constructed and general representation formulae for their bounded linear functionals are obtained in some special cases of matrix .
Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.