Generalized Resolvents of an lsometric Operator in a Pontrjagin Space
Copyright policy )Generalized Resolvents of an lsometric Operator in a Pontrjagin Space
In this paper the contractive and generalized resolvents of an isometric operator in a Pontrjagin-space are studied. Especially, the domain of the operator is allowed to be degenerate. The resulting formulae are analogous to the nondegenerate case, but the values of the characterising parameter are now linear relations instead of linear operators.
- University of Jyväskylä Finland
Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Pontrjagin space, dilation, generalized resolvent, Spectrum, resolvent, contractive resolvent, canonical decompositions, contractive extension, accretive relation
Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), Pontrjagin space, dilation, generalized resolvent, Spectrum, resolvent, contractive resolvent, canonical decompositions, contractive extension, accretive relation
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