The functional calculus approach to the spectral theorem

DOI10.1016/j.indag.2020.09.006OpenAlexW3090129072WikidataQ122781650 ScholiaQ122781650MaRDI QIDQ2210535

Markus Haase

Publication date: 7 November 2020

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06130

zbMATH Keywords

spectral theoremFuglede's theoremmeasurable functional calculus

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

Dilations of commuting \(C_0\)-semigroups with bounded generators and the von Neumann polynomial inequality

Cites Work

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• A bounded transform approach to self-adjoint operators: functional calculus and affiliated von Neumann algebras
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• The functional calculus for sectorial operators
• On a Theorem of Fuglede and Putnam^†
• Operator Theoretic Aspects of Ergodic Theory
• What Does the Spectral Theorem Say?
• A Characterization of Real C(K)-Spaces
• A Commutativity Theorem for Normal Operators

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