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On the best compact approximation problem for operators between \(L_ p\)- spaces

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Publication:1101630
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DOI10.1016/0021-9045(87)90040-2zbMath0642.41016OpenAlexW1966954662MaRDI QIDQ1101630

H. Bang, Edward Odell

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90040-2

zbMATH Keywords

best compact approximation property


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by positive operators (41A36)




Cites Work

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  • An operator on \(L^ p\) without best compact approximation
  • On a certain subset of \(L_ 1(\)0,1) and non-existence of best approximation in some spaces of operators
  • Approximation by compact operators on certain Banach spaces
  • On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
  • Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
  • Approximation by compact operators and the space \(H^\infty +C\)
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