Hypothèse d'approximation à l'ordre \(p\) dans les espaces de Banach et approximation d'applications \(p\) absolument sommantes

DOI10.1007/BF02762812zbMath0257.46108MaRDI QIDQ2559652

Pierre David Saphar

Publication date: 1973

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Tensor products in functional analysis (46M05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (11)

On topological properties of components of the surjective hull of the ideal of the quasi-p-nuclear operators ⋮ The \(\alpha\)-approximation property and the weak topology in tensor products of Banach spaces ⋮ A remark on the approximation of \(p\)-compact operators by finite-rank operators ⋮ Stochastic integration with respect to cylindrical Lévy processes by \(p\)-summing operators ⋮ Banach ideals of operators with applications ⋮ Density of finite rank operators in the Banach space of \(p\)-compact operators ⋮ The geometry of normed spaces ⋮ Weak sequential completeness of Banach operator ideals ⋮ The \(p\)-approximation property in terms of density of finite rank operators ⋮ Inner and outer inequalities with applications to approximation properties ⋮ Weaker relatives of the bounded approximation property for a Banach operator ideal

Cites Work

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• On bases, finite dimensional decompositions and weaker structures in Banach spaces
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• On tensor products of Banach spaces
• Absolut p-summierende Abbildungen in normierten Räumen
• On some properties of p-nuclear and p-integral operators
• Applications à puissance nucléaire et applications de Hilbert-Schmidt dans les espaces de Banach
• Produits tensoriels d'espaces de Banach et classes d'applications linéaires
• Integral Operators in Banach Spaces
• Produits tensoriels topologiques et espaces nucléaires

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