Approximation by compact operators and the space \(H^\infty +C\)

DOI10.2307/1971228zbMath0399.47024OpenAlexW2328723184WikidataQ105984255 ScholiaQ105984255MaRDI QIDQ5966994

Allen L. Shields, I. David Berg, Sheldon Axler, Nicholas P. Jewell

Publication date: 1979

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971228

zbMATH Keywords

Approximation By Compact OperatorsSpace H-Infinity+C

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (22)

An operator on \(L^ p\) without best compact approximation ⋮ Best Approximation and Quasitriangular Algebras ⋮ Best approximations in a class of Lorentz ideals ⋮ The Essential Norm of an Operator and its Adjoint ⋮ On the best compact approximation problem for operators between \(L_ p\)- spaces ⋮ Best Approximation in Certain Douglas Algebras ⋮ Best approximation in the space of bounded operators and its applications ⋮ Essential norm of Toeplitz operators on the Fock spaces ⋮ On a certain subset of \(L_ 1(\)0,1) and non-existence of best approximation in some spaces of operators ⋮ Essential norm of Toeplitz operators and Hankel operators on the weighted Bergman space ⋮ The ideals in the Banach algebraH ∞(D) ⋮ A Geometrical Characterization of Singly Generated Douglas Algebras ⋮ Products of Toeplitz operators ⋮ Countably Generated Douglas Algebras ⋮ Norms of Hankel Operators on a Bidisc ⋮ Lifting Hankel operators from the Hardy space to the Bergman space ⋮ Ball proximinality of 𝑀-ideals of compact operators ⋮ Division in Douglas algebras and some applications ⋮ A new method for approximation of closed convex subsets of B(H) ⋮ \(H^{\infty}+BUC\) does not have the best approximation property ⋮ Asymptotic centers and best compact approximation of operators into C(K) ⋮ Function theory and M-ideals

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