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Strictly singular multiplication operators on ℒ(X)

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2020 United Kingdom, Spain English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 236, pages 685-709 (issn: 0021-2172, eissn: 1565-8511, Copyright policy )Funded by:FCT | LA 2
Authors: Mathieu, Martin; Tradacete, Pedro;

doi: 10.1007/s11856-020-1985-0

handle: 10261/226360

Strictly singular multiplication operators on ℒ(X)

Abstract

The second-named author acknowledges financial support from the Spanish Ministry of Economy and Competitiveness through grants MTM2016-75196-P, MTM2016-76808-P, and the “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554). Support of an LMS Research in Pairs grant is also gratefully acknowledged.

Exploiting several ℓ-factorization results for strictly singular operators, we study the strict singularity of the multiplication operator LR: T → ATB on ℒ(X) for various Banach spaces X.

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United Kingdom, Spain
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Keywords

name=General Mathematics, strictly singular operator, /dk/atira/pure/subjectarea/asjc/2600/2600; name=General Mathematics, Multiplication operator, /dk/atira/pure/subjectarea/asjc/2600/2600, Lp space, 540, 510

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selected citations
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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).
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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
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