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Results tagged with locally-convex-spaces
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user 99234
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
6
votes
The topology of pointwise convergence with the adjoint operator on a von Neumann algebra
[As requested by the asker, I edited this answer to include more background information on the topologies I mention.]
The topology you refer to in your question is the strong$^*$ (operator) topology, …
- 3,816
6
votes
Examples of topologies compatible with a given dual pair
Usha Kiran showed in An uncountable number of polar topologies and non-convex topologies for a dual pair that if the Mackey topology is distinct from the weak topology, then there are at least continu …
- 3,816
6
votes
Accepted
Is the equicontinuous weak-star topology locally convex on the dual of an LF-space?
An interesting paper on spaces for which the $ew^*$ topology coincides with the topology of precompact convergence is S-spaces and the open mapping theorem by Taqdir Husain. He calls such spaces S-spa …
- 3,816
4
votes
Accepted
Infra-Pták space that is not Pták
Valdivia constructed counterexamples in his paper Br-Complete Spaces which are not B-Complete.
- 3,816