Belonging of Gel'fand integral of positive operator valued functions to separable ideals of compact operators on Hilbert space

DOI10.1007/S11117-022-00958-2OpenAlexW4309582449MaRDI QIDQ2100124

Matija Milović, Stefan Milošević, Mihailo A. Krstić

Publication date: 21 November 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00958-2

zbMATH Keywords

unitarily invariant normoperator-valued measuresymmetrically norming functionweak\(^\ast\) integral

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Structure theory of linear operators (47A65) Vector-valued measures and integration (46G10)

Related Items (1)

Weak integrability of operator valued functions with values in ideals of compact operators on Hilbert space

Cites Work

• Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms
• Non-commutative Clarkson inequalities for \(n\)-tuples of operators
• Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions
• Landau and Grüss type inequalities for inner product type integral transformers in norm ideals
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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