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RESEARCH PRODUCT

Bounded elements of C*-inductive locally convex spaces

Camillo TrapaniSalvatore Di BellaGiorgia Bellomonte

subject

Discrete mathematicsPositive elementApplied Mathematics010102 general mathematicsMathematics - Operator AlgebrasRigged Hilbert spaceMathematics - Rings and AlgebrasLF-spaceSpace (mathematics)01 natural sciencesOperator spaceBounded operatorBounded elements Inductive limit of C*-algebras Partial *-algebras010101 applied mathematics47L60 47L40Rings and Algebras (math.RA)Bounded functionLocally convex topological vector spaceFOS: Mathematics0101 mathematicsOperator Algebras (math.OA)Mathematics

description

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 the 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.

yearjournalcountryeditionlanguage
2013-07-26
http://arxiv.org/abs/1307.6988