Operator Hilbert spaces without the operator approximation property
Author:
Alvaro Arias
Journal:
Proc. Amer. Math. Soc. 130 (2002), 2669-2677
MSC (1991):
Primary 46B28; Secondary 46B20, 47D15
DOI:
https://doi.org/10.1090/S0002-9939-02-06387-6
Published electronically:
March 13, 2002
MathSciNet review:
1900875
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We use a technique of Szankowski to construct operator Hilbert spaces that do not have the operator approximation property, including an example in a noncommutative 
space for 
.
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Additional Information
Alvaro Arias
Affiliation:
Division of Mathematics and Statistics, The University of Texas at San Antonio, San Antonio, Texas 78249
Email:
arias@math.utsa.edu
DOI:
https://doi.org/10.1090/S0002-9939-02-06387-6
Received by editor(s):
October 10, 2000
Received by editor(s) in revised form:
April 12, 2001
Published electronically:
March 13, 2002
Communicated by:
N. Tomczak-Jaegermann
Article copyright:
© Copyright 2002
American Mathematical Society
