Manjul Gupta, P. K. Kamthan, " -similar bases", International Journal of Mathematics and Mathematical Sciences, vol. 10, Article ID 172839, 6 pages, 1987. https://doi.org/10.1155/S0161171287000292
Corresponding to an arbitrary sequence space , a sequence in a locally convex space (l.c.s.) is said to be -similar to a sequence in another l.c.s. if for an arbitrary sequence of scalars, for all , for all , where and are respectively the family of all and continuous seminorms generating and .In this note we investigate conditions on and the spaces and which ultimately help to characterize similarity between two Schauder bases. We also determine relationship of this concept with -bases.
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