Constrained von Neumann inequalities

DOI10.1006/aima.2001.2035zbMath1049.47004arXivmath/0501152OpenAlexW2017954290MaRDI QIDQ1599838

R. Smith

Publication date: 2002

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501152

zbMATH Keywords

numerical radiuspositive trigonometric polynomialsadmissible operator radiiHilbert space contractionsvon Neumann inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Numerical range, numerical radius (47A12) Trigonometric polynomials, inequalities, extremal problems (42A05)

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Harnack parts for some truncated shifts ⋮ Unitary skew-dilations of Hilbert space operators ⋮ Numerical range and numerical radius for some operators ⋮ A characteristic operator function for the class of \(n\)-hypercontractions ⋮ Applications of the Wold decomposition to the study of row contractions associated with directed graphs ⋮ Does a typical ℓ_{𝑝}-space contraction have a non-trivial invariant subspace? ⋮ On the numerical radius of some \(C_{00}\)-contractions

Cites Work

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• Numerical radii of zero-one matrices
• The Arveson extension theorem and coanalytic models
• Functions of operators and the spectral radius
• Fields of values and iterative methods
• \(W_A\) contractions
• Contractions in von Neumann algebras
• Spectral radius, norms of iterates, and the critical exponent
• Subalgebras of \(C^ *\)-algebras
• Convexity properties of operator radii associated with unitary \(p\)-dilations
• Inequalities for Fourier transforms of positive functions
• The Numerical Range of a Weighted Shift
• A maximum problem for operators
• Unitarily Invariant Operator Norms
• The Numerical Radius of a Nilpotent Operator on a Hilbert Space
• Sur la norme des fonctions de certains opérateurs
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
• More epsilonized bounds of the Boas-Kac-Lukosz type