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Irish Mathematical Society Bulletin
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Irish Mathematical Society Bulletin
Article . 1987 . Peer-reviewed
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https://dx.doi.org/10.33232/bi...
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Banach Space Ultraproducts

Banach space ultraproducts
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1987 English Publisher:Maynooth UniversityJournal:Irish Mathematical Society Bulletin, volume 18, pages 30-39 (issn: 0791-5578, Copyright policy )
Authors: Coleman, E.;

doi: 10.33232/bims.0018.30.39

Banach Space Ultraproducts

Abstract

This note presents a useful tool in Banach space theory: ultraproducts of Banach spaces. These provide a uniform method for manufacturing locally similar Banach spaces. In this way they relate local (finite dimensional) and global (infinite dimensional) structure.

Keywords

Nonstandard functional analysis, Geometry and structure of normed linear spaces, ultraproducts of Banach spaces, Ultraproducts and related constructions

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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!
1
Average
Average
Average
gold