Boolean algebras of projections in (DF)-and (LF)-spaces

DOI10.1017/S0004972700033761zbMath1041.46003MaRDI QIDQ4709801

José Bonet, Werner J. Ricker

Publication date: 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral measure(DF)-spaces(LF)-spacesBoolean algebras of projections

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Cites Work

• Spectral measures and the Bade reflexivity theorem
• Algebras of unbounded scalar-type spectral operators
• The uniformly closed algebra generated by a complete Boolean algebra of projections
• Spectral measures which fail to be equicontinuous
• Operator algebras generated by commuting projections: a vector measure approach
• On Boolean Algebras of Projections and Algebras of Operators
• Reflexivity and Order Properties of Scalar-Type Spectral Operators in Locally Convex Spaces
• Spectra of Scalar-Type Spectral Operators and Schauder Decompositions
• Structure of Spectral Measures on Locally Convex Spaces
• Resolutions of the identity in Fréchet spaces
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