Multicentric holomorphic calculus for \(n\)-tuples of commuting operators

DOI10.15352/aot.1804-1346zbMath1454.47018OpenAlexW2899986679MaRDI QIDQ1714440

Diana Andrei

Publication date: 31 January 2019

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aot/1543633237

zbMATH Keywords

homogeneous polynomiallemniscatevon Neumann's inequalitycommuting operatormulticentric calculus

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Spectral sets of linear operators (47A25)

Related Items (2)

Rational functions as new variables ⋮ Commuting tuples of normal operators in Hilbert spaces

Cites Work

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• Multicentric holomorphic calculus
• Lemniscates and \(K\)-spectral sets
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• On Taylor and other joint spectra for commuting \(n\)-tuples of operators
• Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
• On approximately simultaneously diagonalizable matrices
• Polynomial as a new variable - a Banach algebra with a functional calculus
• Taylor Functional Calculus
• The Von Neumann Inequality for Polynomials of Degree Greater Than Two
• Banach Algebras and Von Neumann's Inequality
• Multicentric calculus and the Riesz projection
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet

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