Optimal interpolation theorem for quasi-Banach spaces \(\ell_ p\) with weights and for operators from von Neumann-Schatten classes in Hilbert pairs

DOI10.1007/BF01208323zbMath0807.46084MaRDI QIDQ1326035

Vladimir I. Ovchinnikov

Publication date: 13 July 1994

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

zbMATH Keywords

quasi-Banach spacesLorentz spacesvon Neumann-Schatten classesweighted \(L_ p\) spacesmodel optimal interpolation theoremtheorems of Marcinkiewicz and Riesz-Torin

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract interpolation of topological vector spaces (46M35)

Related Items (1)

On invertibility of some classes of operators in weighted Hilbert spaces

Cites Work

• Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q )
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