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

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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…