6533b85afe1ef96bd12b8e30
RESEARCH PRODUCT
Some results about operators in nested Hilbert spaces
Francesco Tschinkesubject
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 spaceMathematicsdescription
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.
year | journal | country | edition | language |
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2005-02-01 | Rendiconti del Circolo Matematico di Palermo |