- Title
- Colocality and twisted sums of Banach spaces
- Creator
- Jebreen, H. M.; Jamjoom, F. B. H.; Yost, David
- Date
- 2006
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/45302
- Identifier
- vital:439
- Identifier
-
https://doi.org/10.1016/j.jmaa.2005.11.001
- Identifier
- ISSN:
- Abstract
- Using the relation between subspaces of Banach spaces and quotients of their duals, we introduce the concept of colocality to give a new method that guarantees the existence of nontrivial twisted sums in which finite quotients play a major role (Theorem 1.7). An interesting point is that no restrictions are imposed on the quotients, only on the various subspaces. New examples of nontrivial twisted sums are given.; C1
- Publisher
- Elsevier
- Relation
- Journal of Mathematical Analysis and Applications Vol. 323, no. 2 (2006), p. 864-875
- Rights
- Copyright Elsevier Science B.V., Amsterdam
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Banach space; Sequence space; Locally bounded space; Complemented subspace; Three space problem; Operator
- Full Text
- Reviewed
- Hits: 2293
- Visitors: 2559
- Downloads: 289
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | DS1 | Final Version | 243 KB | Adobe Acrobat PDF | View Details Download |