A remark on the behaviour of \(L^ p\)-multipliers and the range of operators acting on \(L^ p\)-spaces

DOI10.1007/BF02808215zbMath0808.46037MaRDI QIDQ1802760

Jean Bourgain

Publication date: 29 June 1993

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

zbMATH Keywords

Schauder's fixed point theoremuniform approximation property\(L^ p\)-spaces\(L^ p\)-multipliersUAPuniform approximation function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of operators; tensor products; approximation properties (46B28)

Related Items

Subspaces of \(\ell^ N_ p\) of small codimension ⋮ On the nontrivial projection problem

Cites Work

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• Subspaces of \(\ell^ N_ p\) of small codimension
• Factorizations of natural embeddings of $l^{n}_{p}$ into $L_{r}$, I
• The Proportional Uap Characterizes Weak Hilbert Spaces