Topological vector spaces without local convexity conditions. (English) Zbl 0913.46002
Brokate, Martin (ed.) et al., Functional analysis with current applications in science, technology and industry. Proceedings of the conference on functional analysis and applications, Aligarh, India, December 16–19, 1996. Harlow: Longman. Pitman Res. Notes Math. Ser. 377, 37-48 (1998).
In this beautifully written survey paper on topological vector spaces without local convexity conditions, the author presents the state of art about fundamental theorems: closed graph theorems, open mapping theorems, locally bounded linear mappings.
For the entire collection see [Zbl 0882.00040].
For the entire collection see [Zbl 0882.00040].
Reviewer: Ismat Beg (Kuwait)
MSC:
| 46A16 | Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) |
| 46A30 | Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness) |
