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arXiv · 1307.6988

Bounded elements of C*-inductive locally convex spaces

Giorgia Bellomonte·Salvatore Di Bella·Camillo Trapani
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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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Giorgia Bellomonte, Salvatore Di Bella, Camillo Trapani. 2013-07-26. Bounded elements of C*-inductive locally convex spaces. https://arxiv.org/abs/1307.6988

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