Spectral measures. I: General theory in a topological vector space

DOI10.1007/BF01847918zbMath0515.47012MaRDI QIDQ1051880

William V. Smith

Publication date: 1982

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

zbMATH Keywords

spectrumproduct measuresoperational calculuscontour integration of vector functionsdiscontinuous scalar operatorsspectral measures in general topological vector spaces

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 (2)

Spectral measures. II: Characterization of scalar operators ⋮ Spectral measures. III: Densely defined spectral measures

Cites Work

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• Topological vector spaces and algebras
• Spectral measures in locally convex algebras
• Spectral operators in spaces of distributions
• Products of group-valued measures
• Vector-valued analytic functions
• Vector-Valued Analytic Functions
• On integrals of functions with values in a complete linear metric spaces

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