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Author's Draft

Quotients of Essentially Euclidean Spaces

  • Tadeusz Figiel,
    Institute of Mathematics, Polish Academy of Sciences, Warsaw
  • William Johnson,
    Department of Mathematics, Texas A&M University, College Station,
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Abstract

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 space essentially euclidean space
MSC Classifications: 46B20, 46B07, 46B99 show english descriptions Geometry and structure of normed linear spaces
Local theory of Banach spaces
None of the above, but in this section
46B20 - Geometry and structure of normed linear spaces
46B07 - Local theory of Banach spaces
46B99 - None of the above, but in this section
 

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