Some approximation properties and nuclear operators in spaces of analytical functions

DOI10.15352/AOT.1805-1360zbMath1404.46017OpenAlexW2889711481MaRDI QIDQ1790593

Sten Kaijser, Oleg I. Reinov

Publication date: 2 October 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aot/1537408976

zbMATH Keywords

tensor productapproximation propertynuclear operatorspace of bounded analytical functions

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28)

Cites Work

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• On \(\alpha\)-nuclear operators with applications to vector-valued function spaces
• Banach spaces without approximation property
• Subspaces without the approximation property
• Approximation properties AP\(_s\) and \(p\)-nuclear operators (the case \(0<s \leq 1\))
• Grothendieck's nuclear operator theorem revisited with an application to \(p\)-null sequences
• On linear operators with \(s\)-nuclear adjoints, \(0<s\leq 1\)
• On James's paper 'Separable conjugate spaces'
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)
• An example of an asymptotically Hilbertian space which fails the approximation property
• Approximation properties of orderp and the existence of non-p-nuclear operators withp-nuclear second adjoints
• On the Approximation Properties for the SpaceH∞
• Some Remarks on Approximation Properties with Applications
• The Approximation Property Does Not Imply the Bounded Approximation Property
• The Approximation Problem for Banach Spaces
• Produits tensoriels topologiques et espaces nucléaires

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