An operator on \(L^ p\) without best compact approximation

DOI10.1007/BF02764722zbMath0596.47020MaRDI QIDQ1078492

Yoav Benyamini, Pei-Kee Lin

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

distancecompact operatorsbest compact approximation of the identity operatoroperator on \(L^ p\)

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Approximation by operators (in particular, by integral operators) (41A35)

Related Items

Banach spaces antiproximinal in their biduals ⋮ Spaces of operators, the \(\psi\)-Daugavet property, and numerical indices ⋮ On the best compact approximation problem for operators between \(L_ p\)- spaces ⋮ On order structure and operators in \(L_{\infty }(\mu)\) ⋮ \(L^p\)-operator algebras with approximate identities. I

Cites Work

• Asymptotic centers and best compact approximation of operators into C(K)
• On a certain subset of \(L_ 1(\)0,1) and non-existence of best approximation in some spaces of operators
• Geometry of Banach spaces. Selected topics
• Approximation by compact operators and the space \(H^\infty +C\)
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