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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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Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem
TL;DR: In this article, it was shown that two noncommutative analytic Toeplitz algebras are isomorphic if and only if there is a bi-Lipschitz nc biholomorphism between the similarity envelopes of the nc varieties.
Embedding operators into strongly continuous semigroups
TL;DR: In this article, a necessary condition in terms of the spectral value 0 for a C0-semigroup (T(t))t ≥ 0 such that T = T(1) is given.
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Robust control of infinite dimensional systems
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Equivalence of quotient Hilbert modules -- II
TL;DR: In this paper, the authors obtained a complete set of unitary invariants for the quotient module of a bi-disc function algebra, where the submodule of functions vanishing to order k is a Hilbert module.
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Similarity problems in noncommutative polydomains
TL;DR: In this paper, the authors consider the problem of joint similarity to tuples of bounded linear operators in non-commutative polydomains and varieties associated with sets of non-commodity polynomials.
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