6533b7ddfe1ef96bd127527c

RESEARCH PRODUCT

Rigged Hilbert spaces and contractive families of Hilbert spaces

Camillo TrapaniGiorgia Bellomonte

subject

Pure mathematicsMathematics::Operator AlgebrasGeneral MathematicsHilbert spaceRigged Hilbert spaceDirect limitPhysics::Classical PhysicsFunctional Analysis (math.FA)Mathematics - Functional Analysissymbols.namesakeSettore MAT/05 - Analisi Matematica47A70 46A13 46M40Mathematics::Quantum AlgebrasymbolsFOS: MathematicsRigged Hilbert spaces · Inductive and projective limitsMathematics

description

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.

yearjournalcountryeditionlanguage
2013-12-04
10.1007/s00605-010-0249-1http://arxiv.org/abs/1312.1371