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) |
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Pages (from-to) | 81-102 |
Number of pages | 22 |
Journal | Integral Equations and Operator Theory |
Volume | 48 |
Issue number | 1 |
DOIs | |
State | Published - 2004 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory