Revision as of 17:54, 2 August 2020 edit Mgkrupa (talk \| contribs) Extended confirmed users 27,627 edits m Reworded ← Previous edit		Revision as of 17:56, 2 August 2020 edit undo Mgkrupa (talk \| contribs) Extended confirmed users 27,627 edits Fix Next edit →
Line 102: Note in particular that this is the case if {{math\|𝒢}} consists of [[Bounded set (topological vector space)\|(von-Neumann) bounded]] subsets of {{mvar\|X}}. === Assumptions on ~~{{math\|~~𝒢}} === ;Assumptions that guarantee a vector topology Line 142: Some authors (e.g. Narici) require that {{math\|𝒢}} satisfy the following condition, which implies, in particular, that {{math\|𝒢}} is [[Directed set\|directed]] by subset inclusion: :{{math\|𝒢}} is assumed to be closed with respect to the formation of subsets of finite unions of sets in {{math\|𝒢}} (i.e. every subset of every finite union of sets in {{math\|𝒢}} belongs to {{math\|𝒢}}). Some authors (e.g. Trèves) require that {{math\|𝒢}} be directed under subset inclusion and that it satisfy the following condition:

Topologies on spaces of linear maps: Difference between revisions