- Title
- Homological properties of the Algebra of compact operators on a banach space
- Creator
- Willis, George A.
- Relation
- Rocky Mountain Journal of Mathematics Vol. 48, Issue 2, p. 687-701
- Publisher Link
- http://dx.doi.org/10.1216/RMJ-2018-48-2-687
- Publisher
- Rocky Mountain Mathematics Consortium
- Resource Type
- journal article
- Date
- 2018
- Description
- The conditions on a Banach space E under which the algebra 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 K(E), they are closely associated with the approximation property for E. The class of spaces E such that 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.
- Subject
- approximate identities; approximation property; compact operators; factorization; flat module
- Identifier
- http://hdl.handle.net/1959.13/1472962
- Identifier
- uon:48959
- Identifier
- ISSN:0035-7596
- Language
- eng
- Full Text
- Reviewed
- Hits: 777
- Visitors: 859
- Downloads: 84
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 121 KB | Adobe Acrobat PDF | View Details Download |