Bounded sequence-to-function generalized Hausdorff transformations

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Some Remarks on Generalized Sequence Space of Bounded Variation of Sequences of Fuzzy Numbers

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Hausdorff Matrices as Bounded Operators over /

A necessary and sufficient condition is obtained for an arbitrary Hausdorff matrix to belong to B(l). It is then shown that every conservative quasi-Hausdorff matrix is of type M. Let (H, u) denote the Hausdorff method with generating sequence ¡x = {/L,}, / = {{xn} \2„\xn\ < oo}, B(l) the algebra of bounded linear operators on /. A necessary and sufficient condition is obtained for an arbitrary...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1998

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-98-04256-7