Spectral measures. II: Characterization of scalar operators

DOI10.1007/BF01849240zbMath0567.47027MaRDI QIDQ1059835

William V. Smith

Publication date: 1982

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

zbMATH Keywords

Riesz representation theoremcountably additive regular Borel measurefunctions of several commuting operatorsgeneration of spectral measuresproducts of spectral measuresRadon-Nikodym theorem for spectral measuresspectral measures having values in general topological algebras

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) General theory of topological algebras (46H05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (3)

Perturbation of invariant subspaces of the equations of elasticity: Spectral theory ⋮ Average stability and decay properties of forced solutions of the wave propagation problems of classical physics in energy and mean norms ⋮ Spectral measures. III: Densely defined spectral measures

Cites Work

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• Spectral measures. I: General theory in a topological vector space
• The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces
• Integral representation of dominated operations on spaces of continuous vector fields
• Spectral operators
• Linear Operators and Vector Measures
• A Riesz Representation Theorem
• Integral representation theorems in topological vector spaces
• A Note on the Riesz Representation Theorem
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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