Harmonic Analysis of Operators on Hilbert SpaceNorth-Holland Publishing Company, 1970 - 387 oldal |
Tartalomjegyzék
CHAPTER I | 1 |
Isometric and unitary dilations of a contraction | 11 |
Matrix construction of the unitary dilation | 15 |
Copyright | |
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Más kiadások - Összes megtekintése
Harmonic Analysis of Operators on Hilbert Space Béla Sz Nagy,Ciprian Foias,Hari Bercovici,László Kérchy Korlátozott előnézet - 2010 |
Harmonic Analysis of Operators on Hilbert Space Béla Sz Nagy,Ciprian Foias,Hari Bercovici,László Kérchy Korlátozott előnézet - 2010 |
Gyakori szavak és kifejezések
A₁ belongs bilateral shift bounded operator boundedly invertible c.n.u. contraction Cayley transform characteristic function cogenerator coincides completely non-unitary concludes the proof condition consequently continuous semi-group contraction of class contractive analytic function convergence corresponding decomposition deduce defect indices defined definition denote dissipative operators eigenvalue element equal fact finite functional calculus H₁ H²(E Hilbert space holomorphic hyperinvariant implies inequality inner function invariant subspaces isometric dilation Lemma Let us observe Math matrix maximal accretive minimal function minimal unitary dilation Moreover multiplication by eit non-trivial non-zero obtain obvious orthogonal projection outer function particular proved purely contractive quasi-affinity quasi-similar regular divisor regular factorization relation scalar multiple self-adjoint self-adjoint operator semi-group of contractions space H spectrum subset Sz.-NAGY T₁ T₂ Theorem triangulation unicellular unit circle unit disc unitarily equivalent unitary operator V₁ vectors virtue of Proposition weak contraction