Measurable functional calculi and spectral theory in the reflexive Banach spaces

DOI10.1142/S1793557123500791MaRDI QIDQ6650341

M. I. Yaremenko

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

measurable spaceBanach spacefunctional calculusspectral theoremC\(^*\)-algebraspectral integralwell-bounded operator

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Banach spaces of continuous, differentiable or analytic functions (46E15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Operators on Banach spaces (47B01)

Cites Work

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• A bounded transform approach to self-adjoint operators: functional calculus and affiliated von Neumann algebras
• Asymptotic type for sectorial operators and an integral of fractional powers
• Product formulas in functional calculi for sectorial operators
• Functional analysis. An elementary introduction
• SUMS OF OPERATOR LOGARITHMS
• Automatic extensions of functional calculi
• Operator Theoretic Aspects of Ergodic Theory

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