Operator Hilbert spaces without the operator approximation property
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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 $L_p$ space for $p\not =2$.References
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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
- MR Author ID: 27000
- Email: arias@math.utsa.edu
- 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
- © Copyright 2002 American Mathematical Society
- 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
- MathSciNet review: 1900875