Spectral measures which fail to be equicontinuous

DOI10.1007/BF01876370zbMath0822.46055OpenAlexW2073190442MaRDI QIDQ1329221

Werner J. Ricker, Susumu Okada

Publication date: 22 October 1995

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01876370

zbMATH Keywords

spectral measures\(\sigma\)-complete Boolean algebras of projectionsequicontinuous family of operatorsspectral theory of normal operatorsuniform boundedness of the spectral measure

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Vector-valued measures and integration (46G10) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (4)

Weak compactness of the integration map associated with a spectral measure ⋮ The sequential closedness of \(\sigma\)-complete Boolean algebras of projections ⋮ Resolutions of the identity in Fréchet spaces ⋮ Boolean algebras of projections in (DF)-and (LF)-spaces

Cites Work

• Unnamed Item
• Spectral measures and the Bade reflexivity theorem
• The uniformly closed algebra generated by a complete Boolean algebra of projections
• Spectral Operators of Scalar Type in Grothendieck Spaces with the Dunford-Pettis Property
• Reflexivity and Order Properties of Scalar-Type Spectral Operators in Locally Convex Spaces
• On Boolean Algebras of Projections and Scalar-Type Spectral Operators

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