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2018 Homological properties of the algebra of compact operators on a Banach space
G.A. Willis
Rocky Mountain J. Math. 48(2): 687-701 (2018). DOI: 10.1216/RMJ-2018-48-2-687

Abstract

The conditions on a Banach space $E$ under which the algebra $\mathcal {K}(E)$ of compact operators on $E$ is right flat or homologically unital are investigated. These homological properties are related to factorization in the algebra, and, it is shown that, for $\mathcal {K}(E)$, they are closely associated with the approximation property for $E$. The class of spaces $E$ such that $\mathcal {K}(E)$ is known to be right flat and homologically unital is extended to include spaces which do not have the bounded compact approximation property.

Citation

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G.A. Willis. "Homological properties of the algebra of compact operators on a Banach space." Rocky Mountain J. Math. 48 (2) 687 - 701, 2018. https://doi.org/10.1216/RMJ-2018-48-2-687

Information

Published: 2018
First available in Project Euclid: 4 June 2018

zbMATH: 06883486
MathSciNet: MR3810465
Digital Object Identifier: 10.1216/RMJ-2018-48-2-687

Subjects:
Primary: 19D55, 46B28, 46H05, 46H40, 46M18, 47L10

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 2 • 2018
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