Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces

DOI10.4171/JST/141zbMath1432.46014arXiv1604.00198MaRDI QIDQ516572

Julio Delgado, Michael Ruzhansky, Bao Xiang Wang

Publication date: 14 March 2017

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00198

zbMATH Keywords

modulation spacesharmonic oscillatorWiener amalgam spacestrace formulaenuclearitymetric approximation propertymixed-norm Lebesgue spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spaces of operators; tensor products; approximation properties (46B28) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (8)

On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution ⋮ Nuclear bilinear operators on \(X\times c_0(\mathcal{Y})\) ⋮ Nuclear operators and applications to kernel operators ⋮ Operators on mixed-norm amalgam spaces via extrapolation ⋮ Nuclearity and Grothendieck-Lidskii formula for quaternionic operators ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ Nuclear pseudo-differential operators in Besov spaces on compact Lie groups ⋮ \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)

Cites Work

• Absolutely summing operators on \(C[0,1\) as a tree space and the bounded approximation property]
• Navier-Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices
• B(H) does not have the approximation property
• Hereditary approximation property
• Approximation property and nuclearity on mixed‐normL^p, modulation and Wiener amalgam spaces
• Changes of variables in modulation and Wiener amalgam spaces
• Pseudo-Differential Operators and Symmetries
• The bounded approximation property of variable Lebesgue spaces and nuclearity

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