Search results for "Projective Limit"

showing 2 items of 2 documents

Some results about operators in nested Hilbert spaces

2005

With the use of interpolation methods we obtain some results about the domain of an operator acting on the nested Hilbert space {ℋf}f∈∑ generated by a self-adjoint operatorA and some estimates of the norms of its representatives. Some consequences in the particular case of the scale of Hilbert spaces are discussed.

Operator AlgebraPure mathematicsHilbert manifoldProjective LimitNuclear operatorHilbert R-treeGeneral MathematicsMathematical analysisHilbert's fourteenth problemHilbert spaceHilbert SpaceRigged Hilbert spaceCompact operator on Hilbert spaceInductive Limitsymbols.namesakesymbolsProduct SpaceReproducing kernel Hilbert spaceMathematicsRendiconti del Circolo Matematico di Palermo
researchProduct

Rigged Hilbert spaces and contractive families of Hilbert spaces

2013

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.

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
researchProduct