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RESEARCH PRODUCT

Some results about operators in nested Hilbert spaces

Francesco Tschinke

subject

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 spaceMathematics

description

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.

https://doi.org/10.1007/bf02875745