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.
Bellomonte, G., Di Bella, S., Trapani, C. (2016). Bounded elements of C*-inductive locally convex spaces. ANNALI DI MATEMATICA PURA ED APPLICATA, 195(2), 343-356 [10.1007/s10231-014-0466-7].
Bounded elements of C*-inductive locally convex spaces
BELLOMONTE, Giorgia;DI BELLA, Salvatore;TRAPANI, Camillo
2016-01-01
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 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.File | Dimensione | Formato | |
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