Subspaces of Maximal Operator Spaces

Timur Oikhberg

doi:10.1007/s00020-002-1177-9

Subspaces of Maximal Operator Spaces

Timur Oikhberg

Research output: Contribution to journal › Article › peer-review

Abstract

We explore subspaces of maximal operator spaces (submaximal spaces) and give a new characterization of such spaces. We show that the set of n-dimensional submaximal spaces is closed in the topology of c.b. distance, but not compact. We also investigate subspaces of MAX(L _∞) and prove that any homogeneous Hilbertian subspace of MAX(L ₁) is completely isomorphic to R + C.

Original language	English (US)
Pages (from-to)	81-102
Number of pages	22
Journal	Integral Equations and Operator Theory
Volume	48
Issue number	1
DOIs	https://doi.org/10.1007/s00020-002-1177-9
State	Published - 2004
Externally published	Yes

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-002-1177-9

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abstract = "We explore subspaces of maximal operator spaces (submaximal spaces) and give a new characterization of such spaces. We show that the set of n-dimensional submaximal spaces is closed in the topology of c.b. distance, but not compact. We also investigate subspaces of MAX(L ∞) and prove that any homogeneous Hilbertian subspace of MAX(L 1) is completely isomorphic to R + C.",

author = "Timur Oikhberg",

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Subspaces of Maximal Operator Spaces

Abstract

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