On the coefficient problem: A version of the Kahane-Katznelson-De Leeuw theorem for spaces of matrices

DOI10.1006/jfan.1997.3111zbMath0912.43008OpenAlexW2076867105MaRDI QIDQ1370568

Françoise Lust-Piquard

Publication date: 16 May 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3111

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Spaces of operators; tensor products; approximation properties (46B28) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

The little Grothendieck theorem and Khintchine inequalities for symmetric spaces of measurable operators ⋮ A theorem for random Fourier series on compact quantum groups ⋮ On the interplay between operators, bases, and matrices

Cites Work

• The plank problem for symmetric bodies
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Fourier coefficients of continuous functions and a class of multipliers
• Algebras \(A_ p\) and \(B_ p\) and amenability of locally compact groups
• Non commutative Khintchine and Paley inequalities
• Complex interpolation and regular operators between Banach lattices
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Tensor algebras and harmonic analysis
• HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)
• L'algèbre de Fourier d'un groupe localement compact
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