Approximation from the space of compact operators and other M-ideals

DOI10.1215/S0012-7094-75-04224-6zbMath0332.47024MaRDI QIDQ1228089

Bruce E. Scranton, Richard B. Holmes, Joseph D. Ward

Publication date: 1975

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Groups and semigroups of linear operators (47D03)

Related Items (33)

Best Approximation and Quasitriangular Algebras ⋮ On \(M\)-ideals and best approximation ⋮ Weak essential spectra of multiplication operators on spaces of bounded linear operators ⋮ On a Sufficient Condition for Proximity ⋮ Approximation by compact operators between C(X) spaces ⋮ The Essential Norm of an Operator and its Adjoint ⋮ Best Approximation in Certain Douglas Algebras ⋮ Best approximation and intersections of balls in Banach spaces ⋮ Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces ⋮ On the existence of best simultaneous approximation ⋮ Approximation by certain subspaces in the Banach space of continuous vector-valued functions ⋮ Projections and embeddings of locally convex operator spaces and their duals ⋮ Approximation by minimum norm interpolants in the disc algebra ⋮ 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 ⋮ Properties of certain algebras between \(L^\infty\) and \(H^\infty\) ⋮ A generalized spectral radius formula and Olsen's question ⋮ Smooth points in some spaces of bounded operators ⋮ On the Banach-Stone theorem ⋮ Absolutely proximinal subspaces of Banach spaces ⋮ Approximation par des opérateurs compacts ou faiblement compacts à valeurs dans \(C(X)\) ⋮ M-ideal structure in Banach algebras ⋮ Best approximation and intersections of balls in Banach spaces ⋮ Représentations d'opérateurs à valeurs dans \(L^1(X,\Sigma,\mu)\) ⋮ Thin sets of constant width ⋮ Norm derivatives on spaces of operators ⋮ Approximation by compact operators on certain Banach spaces ⋮ Distance formulas on weighted Banach spaces of analytic functions ⋮ An intersection property of balls and relations with M-ideals ⋮ Inner \(M\)-ideals in Banach algebras ⋮ Uniqueness of Commuting Compact Approximations ⋮ Tietze extensions and continuous selections for metric projections ⋮ Function theory and M-ideals

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