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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
Applications of Analytic Centers
György Sonnevend
- 01 Jan 1991
TL;DR: In this paper, the analytical center of a convex inequality system has been used to define the determinant of a symmetric, positive semidefinite matrix whose elements depend linearly on x.
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On contractions with compact defects
TL;DR: In this article, it was shown that the isometric asymptote of T is a reductive unitary operator and that T is quasisimilar to unitary operators with invariant subspaces.
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A regularity criterion for lexicographical prediction of multivariate wide-sense stationary processes on Z2 with non-full-rank spectral densities
TL;DR: In this article, a necessary and sufficient regularity condition similar to a well-known one-parameter criterion is given for a multivariate wide-sense stationary process with non-full-rank spectral density along a set of pasts corresponding to a lexicographical ordering of Z2.
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Dilation theorem for p-approximate Schauder frames for separable Banach spaces
K. Mahesh Krishna,P. Sam Johnson +1 more
TL;DR: In this paper, the authors derived dilation result for p-approximate Schauder frames for separable Banach spaces, which contains Naimark-Han-Larson dilation theorem as a particular case.
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