Factoring absolutely summing operators through Hilbert-Schmidt operators

DOI10.1017/S0017089500007643zbMath0685.47018MaRDI QIDQ4735666

Hans Jarchow

Publication date: 1989

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

absolutely summing operatorfactors through a Hilbert-Schmidt operatorquotient of a C(K)-spacesecond dual of a Banach spacesuper- reflexive and quasi-reflexive spaces

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items

Factoring operators over Hilbert-Schmidt maps and vector measures

Cites Work

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• Absolutely summing operators and local unconditional structures
• Weak compactness in the dual space of a \(C^*\)-algebra
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• Weak Hilbert Spaces
• Subspaces of L 1 , via Random Measures
• $\gamma $-Summing Operators in Banach Spaces of Type $p,1 < p \leqq 2$, and Cotype $q,2 \leqq q < \infty $.
• Mappings of Gaussian Cylindrical Measures in Banach Spaces
• A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space