caa a22 4500 445868732 CHVBK 20180317145505.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00605-010-0249-1 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0249-1 Rigged Hilbert spaces and contractive families of Hilbert spaces [Elektronische Daten] [Giorgia Bellomonte, Camillo Trapani] 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. Springer-Verlag, 2010 Rigged Hilbert spaces nationallicence Inductive and projective limits nationallicence Bellomonte Giorgia Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123, Palermo, Italy aut Trapani Camillo Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123, Palermo, Italy aut Monatshefte für Mathematik Springer Vienna 164/3(2011-11-01), 271-285 0026-9255 164:3<271 2011 164 605 https://doi.org/10.1007/s00605-010-0249-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0249-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bellomonte Giorgia Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123, Palermo, Italy aut NATIONALLICENCE 700 1- Trapani Camillo Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123, Palermo, Italy aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 164/3(2011-11-01), 271-285 0026-9255 164:3<271 2011 164 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer