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Harmonic Analysis of Operators on Hilbert Space
Béla Szőkefalvi-Nagy,Ciprian Foias,Hari Bercovici,László Kérchy +3 more
- 01 Jan 1970
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TL;DR: In this article, the structure of operators of Class C 0.1 is discussed.Contractions and their Dilations, Geometrical and Spectral Properties of Dilations and Operator-Valued Analytic Functions are discussed.
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Abstract: Contractions and Their Dilations.- Geometrical and Spectral Properties of Dilations.- Functional Calculus.- Extended Functional Calculus.- Operator-Valued Analytic Functions.- Functional Models.- Regular Factorizations and Invariant Subspaces.- Weak Contractions.- The Structure of C1.-Contractions.- The Structure of Operators of Class C0.
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Citations
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E-dilation of strongly commuting CP-semigroups (the nonunital case)
TL;DR: In this paper, it was shown that if one restricts attention to the von Neumann algebra B(H) then the unitality assumption can be dropped, that is, every pair of strongly commuting CP-semigroups on B (H) has an E-dilation.
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Positive operators arising asymptotically from contractions
TL;DR: In this paper, the authors characterize positive operators which are asymptotic limits of contractions in strong operator topologies or uniform topologies, and examine the problem of finding the positive operators for two contractions that coincide.
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Characteristic Functions for Ergodic Tuples
Santanu Dey,Rolf Gohm +1 more
TL;DR: It is proved that the characteristic function is a complete unitary invariant for such tuples and show how it can be computed.
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Extensions of a Minimal Third-Order Formally Symmetric Operator
TL;DR: In this paper, the authors consider regular boundary value problems generated by a third-order differential equation and some boundary conditions and construct maximal self-adjoint, maximal dissipative and maximal accumulative extensions of the minimal operator.
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Hypercontractions and factorizations of multipliers in one and several variables
TL;DR: In this article, the authors introduce the notion of characteristic functions for commuting tuples of hypercontractions on Hilbert spaces, as a generalization of the Sz.-Nagy and Foias characteristic functions of contractions.
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