Homological Methods in Operator Theory: Hilbert Modules Over Function AlgebrasFacultatea de matematicǎ, 1999 - 123 Seiten |
Inhalt
INTRODUCTION | 5 |
PRELIMINARIES | 11 |
SPECTRAL RESOLUTIONS | 19 |
3 weitere Abschnitte werden nicht angezeigt.
Häufige Begriffe und Wortgruppen
A-module structure admits Nagy-Foias diagram Baer sum Banach modules bounded linear map canonical form category of Hilbert cohomology functor commutant lifting theorem commutative diagram consider contractive A-module contractive Hilbert module deduce defined denote derived functors disk algebra double A-module map double A-submodule double sequences E₁ E₂ elementary replacement equivalence morphisms exists an A-module following commutative diagram following diagram function algebra Gn+1 groups Ext H₁ hence Hilbert space isomorphic J₁ K₁ K₂ L₁ lifting propriety M₁ M₂ matrix minimal X-subspectral resolution modelling morphism module map module over A(ID module over C(X morphism of n-extensions multiplication operator n-tuple obtain partial isometry projective objects projective resolution Proof Proposition pullback map pullback morphism pushout pushout map Q₁ Q₁f Q₂ R₁ S₁ Silov submodule subspectral modules Theorem unitary V₁ X-spectral A-submodule Κι