Operators on function spaces

DOI10.1090/S0002-9904-1972-12988-4zbMath0265.47021OpenAlexW2076421019MaRDI QIDQ5682832

Paul W. Lewis, James K. Brooks

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-12988-4

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Vector-valued measures and integration (46G10)

Related Items (8)

Operator-valued measures and linear operators ⋮ Yosida-Hewitt type decompositions for weakly compact operators and operator-valued measures ⋮ Decompositions for weakly compact operators on the space of totally measurable functions ⋮ Operators on the space of vector-valued totally measurable functions ⋮ Linear Operators and Vector Measures ⋮ Strong additivity, absolute continuity, and compactness in spaces of measures ⋮ Linear operators and vector measures. II ⋮ Lebesgue spaces for bilinear vector integration theory

Cites Work

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• Linear bounded transformation on the space of continuous functions
• Weak Compactness and Vector Measures
• A general bilinear vector integral
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• Projections in certain Banach spaces
• Linear Operators and Vector Measures
• A Representation Theorem for a Continuous Linear Transformation on a Space of Continuous Functions
• Extension of Operator Valued Set Functions with Finite Semivariation
• On Finitely Additive Vector Measures
• Integral Representations for Continuous Linear Operators in the Setting of Convex Topological Vector Spaces
• Weak compactness in the space of vector measures

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