Illinois Journal of Mathematics

Duality of uniform approximation property in operator spaces

Yanqi Qiu

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Abstract

The duality of uniform approximation property for Banach spaces is well known. In this note, we establish, under the assumption of local reflexivity, the duality of uniform approximation property in the category of operator spaces.

Article information

Source
Illinois J. Math., Volume 58, Number 4 (2014), 1093-1105.

Dates
Received: 21 December 2014
Revised: 6 June 2015
First available in Project Euclid: 6 November 2015

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1446819303

Digital Object Identifier
doi:10.1215/ijm/1446819303

Mathematical Reviews number (MathSciNet)
MR3421601

Zentralblatt MATH identifier
1344.46013

Subjects
Primary: 46B10: Duality and reflexivity [See also 46A25]
Secondary: 46B28: Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]

Citation

Qiu, Yanqi. Duality of uniform approximation property in operator spaces. Illinois J. Math. 58 (2014), no. 4, 1093--1105. doi:10.1215/ijm/1446819303. https://projecteuclid.org/euclid.ijm/1446819303


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