most citedFully representable and *-semisimple topological partial *-algebras

2 citations · 2 across the 3 of their papers we have counts for

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3 papers

math.RA2012★ 2 cited

Fully representable and *-semisimple topological partial *-algebras

J-P. Antoine, G. Bellomonte, C. Trapani

We continue our study of topological partial *-algebras, focusing our attention to *-semisimple partial *-algebras, that is, those that possess a {multiplication core} and sufficie…

math-ph2012

Frames, semi-frames, and Hilbert scales

J-P. Antoine, P. Balazs

Given a total sequence in a Hilbert space, we speak of an upper (resp. lower) semi-frame if only the upper (resp. lower) frame bound is valid. Equivalently, for an upper semi-frame…

math-ph2012

Partial inner product spaces: Some categorical aspects

J-P. Antoine, D. Lambert, C. Trapani

We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP spaces) and operators on them. In particular, we construct sheav…