Approximation property and nuclearity on mixed‐normLp, modulation and Wiener amalgam spaces

DOI10.1112/jlms/jdw040zbMath1381.46018arXiv1410.4687OpenAlexW1721461675MaRDI QIDQ2835326

Bao Xiang Wang, Julio Delgado, Michael Ruzhansky

Publication date: 2 December 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4687

zbMATH Keywords

nuclear normmodulation spacemixed norm spaceamalgam spacemetric approximation property

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 (14)

Gabor frame characterizations of generalized modulation spaces ⋮ Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property ⋮ On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution ⋮ Operators on mixed-norm amalgam spaces via extrapolation ⋮ Some elementary properties of Bernstein-Kantorovich operators on mixed norm Lebesgue spaces and their implications in fractal approximation ⋮ \(L^p\)-\(L^q\) boundedness of Fourier multipliers associated with the anharmonic oscillator ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ Nuclear pseudo-differential operators in Besov spaces on compact Lie groups ⋮ Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces ⋮ Bounded operators on mixed norm Lebesgue spaces ⋮ \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\) ⋮ Wiener amalgam spaces of quasianalytic ultradistributions ⋮ Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type ⋮ Modulation spaces associated with tensor products of amalgam spaces

Cites Work

• Unnamed Item
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• Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
• Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
• Kernel and symbol criteria for Schatten classes and \(r\)-nuclearity on compact manifolds
• Some approximation properties of Banach spaces and Banach lattices
• Banach spaces related to integrable group representations and their atomic decompositions. II
• The spaces \(L^ p\), with mixed norm
• Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
• Navier-Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices
• A Banach space without a basis which has the bounded approximation property
• B(H) does not have the approximation property
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• BV has the bounded approximation property
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• Schatten classes on compact manifolds: kernel conditions
• Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
• \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
• Schatten-von Neumann properties in the Weyl calculus, and calculus of metrics on symplectic vector spaces
• On the Schatten-von Neumann properties of some pseudo-differential operators
• A counterexample to the approximation problem in Banach spaces
• Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant
• Changes of variables in modulation and Wiener amalgam spaces
• La théorie de Fredholm
• On the numerical evaluation of Fredholm determinants
• Fredholm determinants and the Camassa-Holm hierarchy
• The bounded approximation property of variable Lebesgue spaces and nuclearity
• Modulation Spaces and Nonlinear Evolution Equations
• Grothendieck‐Lidskiǐ theorem for subspaces of L_p‐spaces
• History of Banach Spaces and Linear Operators
• Traces and determinants of linear operators

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