On Boolean Algebras of Projections and Scalar-Type Spectral Operators

DOI10.2307/2044355zbMath0508.47035OpenAlexW4241020393MaRDI QIDQ4746342

Werner J. Ricker

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2044355

zbMATH Keywords

spectral measureBoolean algebra of projectionsclosed measureabsence of Bade functionalsintegration with respect to closed spectral measuresscalar- type spectral operators

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Spectral measures which fail to be equicontinuous, A noncommutative theory of Bade functionals, Criteria for Closedness of Vector Measures, The sequential closedness of \(\sigma\)-complete Boolean algebras of projections, The uniformly closed algebra generated by a complete Boolean algebra of projections, Completeness of the L¹-space of closed vector measures, Reflexivity and Order Properties of Scalar-Type Spectral Operators in Locally Convex Spaces, An Indecomposable Daniell Integral, Completeness of \(L^1\)-spaces for measures with values in complex vector spaces, Criteria for closedness of spectral measures and completeness of Boolean algebras of projections, Orthomorphisms and Boolean algebras of projections, Scalar-type spectral operators and C(\(\Omega\) )-operational calculi, Spectral measures and the Bade reflexivity theorem

Cites Work

• Unnamed Item
• On Boolean Algebras of Projections and Algebras of Operators
• Structure of Spectral Measures on Locally Convex Spaces