The existence of a rigged Hilbert space whose extreme spaces are, respectively, the projective and the inductive limit of a directed contractive family of Hilbert spaces is investigated. It is proved that, when it exists, this rigged Hilbert space is the same as the canonical rigged Hilbert space associated to a family of closable operators in the central Hilbert space.
|Numero di pagine||15|
|Rivista||MONATSHEFTE FÜR MATHEMATIK|
|Stato di pubblicazione||Published - 2011|
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