Weak compactness of integration maps associated with indefinite integrals of spectral measures

DOI10.1016/0019-3577(96)81763-0zbMath0840.47019OpenAlexW2055943668MaRDI QIDQ1909247

Werner J. Ricker

Publication date: 11 March 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)81763-0

zbMATH Keywords

spectral measureindefinite spectral integralsresolution of the identity of a compact, scalar-type spectral operator acting in a Banach spaceweak compactness of the integration map

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Vector-valued measures and integration (46G10)

Cites Work

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• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• Spectral measures and the Bade reflexivity theorem
• The dual space of \({\mathcal L}^ 1(\mu)\) for a vector measure \(\mu\)
• When \(L^ 1\) of a vector measure is an AL-space
• Weak compactness of the integration map associated with a spectral measure
• Reflexivity and Order Properties of Scalar-Type Spectral Operators in Locally Convex Spaces
• Compactness properties of vector-valued integration maps in locally convex spaces
• Compactness properties of the integration mapassociated with a vector measure
• Uniform operator σ-additivity of indefinite integrals induced by scalar-type spectral operators

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