6533b85afe1ef96bd12b9473

RESEARCH PRODUCT

Refinements of PIP-Spaces

Camillo TrapaniJean-pierre Antoine

subject

Unbounded operatorPure mathematicssymbols.namesakeScale (ratio)Section (archaeology)Compatibility relationHilbert spacesymbolsSpectral theoremMathematics

description

We have seen in Section 1.5, that the compatibility relation underlying a pip-space may always be coarsened, but not refined in general. There is an exception, however, namely the case of a scale of Hilbert spaces and analogous structures. We shall describe it in this section.

https://doi.org/10.1007/978-3-642-05136-4_5