Convenient vector space

id: convenient-vector-space-265-14661714
title: Convenient vector space
text: In mathematics, convenient vector spaces are locally convex vector spaces satisfying a very mild completeness condition. Traditional differential calculus is effective in the analysis of finite-dimensional vector spaces and for Banach spaces. Beyond Banach spaces, difficulties begin to arise; in particular, composition of continuous linear mappings stop being jointly continuous at the level of Banach spaces, for any compatible topology on the spaces of continuous linear mappings. Mappings betwee
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original url: https://en.wikipedia.org/wiki/Convenient_vector_space
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date modified: 2023-11-15T04:50:18Z
main entity: {"identifier":"Q25303670","url":"https://www.wikidata.org/entity/Q25303670"}
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