On the Riesz Almost Convergent Sequences Space
Keyword(s):
The purpose of this paper is to introduce new spaces and that consist of all sequences whose Riesz transforms of order one are in the spaces and , respectively. We also show that and are linearly isomorphic to the spaces and , respectively. The and duals of the spaces and are computed. Furthermore, the classes and of infinite matrices are characterized for any given sequence space and determine the necessary and sufficient conditions on a matrix to satisfy , for all .
2007 ◽
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1972 ◽
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pp. 82-90
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1996 ◽
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