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Quotients of Essentially Euclidean Spaces

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  09 January 2019

Tadeusz Figiel  and
William Johnson
Tadeusz Figiel
Affiliation:
Institute of Mathematics, Polish Academy of Sciences Email: [email protected]
William Johnson
Affiliation:
Department of Mathematics, Texas A&M University, College Station, TX 77843–3368, USA Email: [email protected]
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Abstract

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A precise quantitative version of the following qualitative statement is proved: If a finite-dimensional normed space contains approximately Euclidean subspaces of all proportional dimensions, then every proportional dimensional quotient space has the same property.

Keywords

essentially euclidean

MSC classification

Primary: 46B20: Geometry and structure of normed linear spaces
Secondary: 46B07: Local theory of Banach spaces 46B99: None of the above, but in this section
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 1 , March 2019 , pp. 71 - 74
Copyright
© Canadian Mathematical Society 2018 

Footnotes

Author W. J. was supported in part by NSF DMS-1565826.

References

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