Grothendieck‐Lidskiǐ theorem for subspaces of Lp‐spaces

DOI10.1002/mana.201100112zbMath1353.47038arXiv1003.0085OpenAlexW2048006782MaRDI QIDQ4911533

Q. Latif, Oleg I. Reinov

Publication date: 15 March 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0085

zbMATH Keywords

eigenvalue distributions\(s\)-nuclear operatorsGrothendieck-Lidskij theorem

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (13)

Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary ⋮ Fourier multipliers, symbols, and nuclearity on compact manifolds ⋮ Distribution of eigenvalues of nuclear operators and Grothendieck-Lidskii type formulas ⋮ Nuclear bilinear operators on \(X\times c_0(\mathcal{Y})\) ⋮ Nuclear operators and applications to kernel operators ⋮ Nuclearity for power series kernels in higher dimensions ⋮ \(L^p\)-\(L^q\) boundedness of Fourier multipliers associated with the anharmonic oscillator ⋮ On $$ \mathbb Z_d $$ -symmetry of spectra of some nuclear operators ⋮ \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups ⋮ Some Remarks on Approximation Properties with Applications ⋮ Nuclear pseudo-differential operators in Besov spaces on compact Lie groups ⋮ Approximation property and nuclearity on mixed‐normL^p, modulation and Wiener amalgam spaces ⋮ On the \(r\)-nuclearity of some integral operators on Lebesgue spaces

Cites Work

• Unnamed Item
• Approximation properties AP\(_s\) and \(p\)-nuclear operators (the case \(0<s \leq 1\))
• Analytic multivalued functions and spectral trace
• History of Banach Spaces and Linear Operators

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