Rigged Hilbert spaces and contractive families of Hilbert spaces.

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Abstract

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.
Lingua originaleEnglish
pagine (da-a)271-285
Numero di pagine15
RivistaMONATSHEFTE FÜR MATHEMATIK
Volume164
Stato di pubblicazionePublished - 2011

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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