Can one hear the structure of a Banach space?

DOI10.1007/BF01194563zbMath0685.47035MaRDI QIDQ1826098

Albrecht Pietsch

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

\(\ell \)-typeeigenvalues of any \(\gamma\)-summing operatorweak cotype- q-space

Mathematics Subject Classification ID

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) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• Weyl numbers and eigenvalues of operators in Banach spaces
• On the eigenvalues of (p,2)-summing operators and constants associated with normed spaces
• Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces
• Geometry and probability in Banach spaces
• Type and cotype numbers of operators on Banach spaces
• Eigenvalue Distributions and Geometry of Banach Spaces
• Weak Hilbert Spaces
• Mappings of Gaussian Cylindrical Measures in Banach Spaces
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Can One Hear the Shape of a Drum?
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