Bounded elements of C*-inductive locally convex spaces
Operator Algebras
2013-07-29 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1307.6988,
title = {Bounded elements of C*-inductive locally convex spaces},
author = {Giorgia Bellomonte and Salvatore Di Bella and Camillo Trapani},
journal= {arXiv preprint arXiv:1307.6988},
year = {2013}
}