- Title
- Notions of relative interior in Banach spaces
- Creator
- Borwein, J.; Goebel, R.
- Relation
- Journal of Mathematical Sciences Vol. 115, Issue 4, p. 2542-2553
- Publisher Link
- http://dx.doi.org/10.1023/A:1022988116044
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2003
- Description
- We present extensions of the equivalent notions of relatively absorbing, nonsupport, and relative interior points of a convex set in ℝn to the case of a Banach space. We study the relations between these extensions and develop their basic calculus rules. Several explicit examples and counterexamples in general Banach spaces are given and the tools for development of further examples are explained. Various implications for infinite-dimensional optimization are highlighted.
- Subject
- Banach spaces; complex variables; topology; calculus; convex domains
- Identifier
- http://hdl.handle.net/1959.13/940676
- Identifier
- uon:13077
- Identifier
- ISSN:1072-3374
- Language
- eng
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