Bounded elements of C*-inductive locally convex spaces

2013/07/26 by Giorgia Bellomonte, Bellomonte, Giorgia, Salvatore Di Bella +4
Mathematics · #47L40 #47L60 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #math.OA #math.RA #msc:47L40 #msc:47L60

paper · pdf · doi:10.48550/arxiv.1307.6988

arxiv created 2013/07/26 · openalex publication_date 2013/07/26 · arxiv updated 2013/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of bounded element of C*-inductive locally convex spaces (or C*-inductive partial *-algebras) is introduced and discussed in two ways: the first one takes into account the inductive structure provided by certain families of C*-algebras; the second one is linked to natural order of these spaces. A particular attention is devoted to the relevant instance provided by the space of continuous linear maps acting in a rigged Hilbert space.

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