Some Compact Operators on the Hahn Space-Reference-Cited by-同舟云学术

Some Compact Operators on the Hahn Space

Published:2021-07-29 Issue:1 Volume:1 Page:1-14
ISSN:
Container-title:Scientific Research Communications
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Short-container-title:SRC

Author:

Malkowsky Eberhard^ORCID,

Abstract

We establish the characterisations of the classes of bounded linear operators from the generalised Hahn sequence space hd, where d is an unbounded monotone increasing sequence of positive real numbers, into the spaces [c0], [c] and [c1] of sequences that are strongly convergent to zero, strongly convergent and strongly bounded. Furthermore, we prove estimates for the Hausdor_ measure of noncompactness of bounded linear operators from hd into [c], and identities for the Hausdor_ measure of noncompactness of bounded linear operators from hd to [c0], and use these results to characterise the classes of compact operators from hd to [c] and [c0].

Publisher

Izmir UOD

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