Tensor product of a finite number of spectral measures is always a spectral measure

DOI10.1007/BF01193459zbMath0844.47013OpenAlexW2049088493MaRDI QIDQ1909670

Michael Solomyak, Mikhail Sh. Birman

Publication date: 12 August 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193459

zbMATH Keywords

spectral measure

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Set functions, measures and integrals with values in ordered spaces (28B15) Tensor products of linear operators (47A80)

Related Items (16)

Multiple operator integrals in perturbation theory ⋮ Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals ⋮ Unnamed Item ⋮ Functions of almost commuting operators and an extension of the Helton-Howe trace formula ⋮ Higher order spectral shift ⋮ Functions of normal operators under perturbations ⋮ Absolute continuity of spectral shift ⋮ Functions of perturbed dissipative operators ⋮ Dissipative operators and operator Lipschitz functions ⋮ Trace formulas for resolvent comparable operators ⋮ Functions of perturbed \(n\)-tuples of commuting self-adjoint operators ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ Operator Hölder-Zygmund functions ⋮ The Lifshitz–Krein trace formula and operator Lipschitz functions ⋮ On the mathematical work of M. Sh. Birman ⋮ On spectral and random measures associated to discrete and continuous-time processes

Cites Work

• Unnamed Item
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• Addendum to: Operator differentiable functions
• Spectral measures in locally convex algebras

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