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zbMATH Open
Article . 2002
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Matrix transformations between the sequence space BVP and certain BK spaces

Matrix transformations between the sequence space \(bv^p\) and certain \(BK\) spaces
Authors: Malkowsky, E.; Rakočević, V.; Živković, Snežana;

Matrix transformations between the sequence space BVP and certain BK spaces

Abstract

In this paper, we characterize matrix transformations between the sequence space bvp (1 < p < ?) and certain BK spaces. Further?more, we apply the Hausdorff measure of noncompactness to give necessary and sufficient conditions for a linear operator between these spaces to be compact.

Keywords

sequence spaces, measure of noncompactness, \(BK\)-spaces, matrix transformations, Banach sequence spaces, Sequence spaces (including Köthe sequence spaces), Functional analytic methods in summability, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
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