Well-bounded operators on nonreflexive Banach spaces

DOI10.1090/S0002-9939-96-03098-5zbMath0843.47022OpenAlexW1923083566MaRDI QIDQ4875529

Ian Doust, Qingping Cheng

Publication date: 4 June 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03098-5

zbMATH Keywords

integral representationreflexive Banach spacetype (B)well-bounded operatorspectral family of projections

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Functional calculus for linear operators (47A60) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Duality and reflexivity in normed linear and Banach spaces (46B10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (2)

An example in the theory of $AC$-operators ⋮ Extensions of an AC\((\sigma)\) functional calculus

Cites Work

• Counterexamples to a conjecture of Grothendieck
• Conditionally convergent spectral expansions
• On well-bounded operators
• Absolutely Continuous Functions of Two Variables and Well-Bounded Operators
• Functional Calculus, Integral Representations, and Banach Space Geometry
• Spectral Families of Projections, Semigroups, and Differential Operators
• On Uniquely Decomposable Well-Bounded Operators
• On well-bounded operators of type (B)
• Basic sequences and reflexivity of Banach spaces
• On Well-Bounded Operators. II
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