Isomorphisms of standard operator algebras

Author:
Peter Šemrl

Journal:
Proc. Amer. Math. Soc. **123** (1995), 1851-1855

MSC:
Primary 47D30

DOI:
https://doi.org/10.1090/S0002-9939-1995-1242104-8

MathSciNet review:
1242104

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Abstract: Let *X* and *Y* be Banach spaces, , and let and be standard operator algebras on *X* and *Y*, respectively. Assume that is a bijective mapping satisfying , where is a given positive real number (no linearity or continuity of is assumed). Then is a spatially implemented linear or conjugate linear algebra isomorphism. In particular, is continuous.

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1242104-8

Article copyright:
© Copyright 1995
American Mathematical Society