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Factoring compact operators

Name: Factoring compact operators
Creator: William B. Johnson
Keywords: Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Linear spaces of operators, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1971Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 9, pages 337-345 (issn: 0021-2172, eissn: 1565-8511,

Authors: William B. Johnson;

doi: 10.1007/bf02771684

Factoring compact operators

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Abstract

We consider the following problem: Does there exist a separable Banach spaceZ such that every compact operator can be factored as a productTS withT, S compact, rangeS=DomainT=Z? Our investigation yields a reasonable partial solution to this problem as well as the following independent result: A Banach space which has theλ-metric approximation property can be embedded as a complemented subspace of aπ λ space.

Related Organizations

University of Houston - Victoria
United States

Keywords

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Linear spaces of operators

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	citations 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).	76
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	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

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