An extremal problem in Fourier analysis with applications to operator theory

DOI10.1016/0022-1236(89)90095-5zbMath0674.42002OpenAlexW2073137094MaRDI QIDQ1121476

Paul Koosis, Chandler Davis, Rajendra Bhatia

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90095-5

zbMATH Keywords

perturbation of operatorsFourier- transform problemminimal extrapolation problem

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (24)

A survey of Chandler Davis ⋮ Analyzing specific cases of an operator inequality ⋮ The Hoffman-Wielandt inequality in infinite dimensions ⋮ Unitary orbits of normal operators in von Neumann algebras ⋮ Spectral variation bounds for diagonalisable matrices ⋮ Unitary invariance and spectral variation ⋮ On some perturbation inequalities for operators ⋮ A sharp version of Kahan's theorem on clustered eigenvalues ⋮ On Specht's theorem in UHF \(C^\ast \)-algebras ⋮ Notes on the \(\sin 2\Theta\) theorem ⋮ Some inequalities for commutators and an application to spectral variation ⋮ Convergence of the block Lanczos method for eigenvalue clusters ⋮ On best localized bandlimited functions ⋮ Spectral variation of normal matrices ⋮ The mathematics of Chandler Davis ⋮ Closing the gap in a subspace perturbation bound ⋮ A Sharp Estimate in an Operator Inequality ⋮ On a subspace perturbation problem ⋮ Almost everywhere convergence of Fourier integrals ⋮ Spectral variation, normal matrices, and Finsler geometry ⋮ Coefficient problems for real bounded-spectrum functions ⋮ Maximal spectral distance ⋮ Rajendra Bhatia and his mathematical achievements ⋮ Perturbation of spectra and spectral subspaces

Cites Work

• Perturbation of spectral subspaces and solution of linear operator equations
• Topics in approximation theory
• Some extremal functions in Fourier analysis
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• COMPLEX FOURIER--BESSEL TRANSFORMS
• Über die Ungleichung von H. Bohr
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An extremal problem in Fourier analysis with applications to operator theory