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Approximation properties AP\(_s\) and \(p\)-nuclear operators (the case \(0

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Publication:1405672
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zbMath1058.46007MaRDI QIDQ1405672

Oleg I. Reinov

Publication date: 31 August 2003

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

tensor products\(p\)-nuclear operatorsapproximation properties of order \(s\)James-Lindenstrauss construction


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) Spaces of operators; tensor products; approximation properties (46B28) Tensor products in functional analysis (46M05)


Related Items

Some remarks on spectra of nuclear operators ⋮ Distribution of eigenvalues of nuclear operators and Grothendieck-Lidskii type formulas ⋮ On the product of \(s\)-nuclear operators ⋮ On products of nuclear operators ⋮ Some Remarks on Approximation Properties with Applications ⋮ Grothendieck‐Lidskiǐ theorem for subspaces of Lp‐spaces ⋮ Grothendieck's nuclear operator theorem revisited with an application to \(p\)-null sequences ⋮ Some approximation properties and nuclear operators in spaces of analytical functions ⋮ On linear operators with \(s\)-nuclear adjoints, \(0<s\leq 1\)



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