Interpolation of linear operators in spaces of vector-valued functions and with mixed norm

DOI10.1007/BF00970205zbMath0646.46023MaRDI QIDQ1103820

A. V. Bukhvalov

Publication date: 1987

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

zbMATH Keywords

Banach ideal spaceBanach space of measurable functionsfirst and second complex methodsinterpolation couples of Banach spacesOvchinnikov's \(\phi \)-methodspaces of vector-valued functions and with mixed norm

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 vector- and operator-valued functions (46E40) Abstract interpolation of topological vector spaces (46M35)

Related Items (6)

Norm estimates for matrix operators between Banach spaces ⋮ Narrow operators on tensor products of Köthe spaces ⋮ Best constants in Rosenthal-type inequalities and the Kruglov operator ⋮ Series of independent random variables in rearrangement invariant spaces: an operator approach ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Vector-valued extensions of operators through multilinear limited range extrapolation

Cites Work

• Operational Bezoutiant in the theory of separation of roots of entire functions
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