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Israel Journal of Mathematics
Article
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Israel Journal of Mathematics
Article . 1982 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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zbMATH Open
Article . 1982
Data sources: zbMATH Open
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Norm attaining operators

Authors: Partington, J. R.;

Norm attaining operators

Abstract

Every Banach space is isomorphic to a space with the property that the norm-attaining operators are dense in the space of all operators into it, for any given domain space. A super-reflexive space is arbitrarily nearly isometric to a space with this property.

Related Organizations
Keywords

Isomorphic theory (including renorming) of Banach spaces, super- reflexive space, Duality and reflexivity in normed linear and Banach spaces, renormings, norm-attaining operators, Bishop-Phelps property, Banach-Mazur distance, Linear spaces of operators

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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).
    27
    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.
    Top 10%
    influence
    This indicator 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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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
27
Top 10%
Top 10%
Average
hybrid