Affiliation:
1. Department of Mathematics, Aligarh Muslim University, Aligarh, India
Abstract
In the present paper, we introduce the sequence space l?p of non-absolute
type and prove that the spaces ??p and lp are linearly isomorphic for 0 < p ?
?. Further, we show that ??p is a p-normed space and a BK-space in the cases
of 0 < p < 1 and 1 ? p ? ?, respectively. Furthermore, we derive some
inclusion relations concerning the space ??p. Finally, we construct the basis
for the space ??p, where 1 ? p < ?.
Publisher
National Library of Serbia
Cited by
67 articles.
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