Interpolation of Fremlin tensor products and Schur factorization of matrices

DOI10.1016/j.jfa.2012.02.007zbMath1252.46013OpenAlexW2016976799MaRDI QIDQ418711

Andreas Defant, Mieczyslaw Mastylo

Publication date: 30 May 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.02.007

zbMATH Keywords

Banach latticecomplex interpolationregular operatorCalderón-Lozanovskii spaceFremlin tensor product

Mathematics Subject Classification ID

Banach lattices (46B42) Interpolation between normed linear spaces (46B70) Tensor products in functional analysis (46M05)

Related Items (4)

Pietsch-Maurey-Rosenthal factorization of summing multilinear operators ⋮ Translation invariant maps on function spaces over locally compact groups ⋮ Multilinear Marcinkiewicz-Zygmund inequalities ⋮ Factorization of \((q,p)\)-summing polynomials through Lorentz spaces

Cites Work

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• Factorization of positive multilinear maps
• On the interpolation of injective or projective tensor products of Banach spaces
• Complex interpolation and regular operators between Banach lattices
• A complex interpolation formula for tensor products of vector-valued Banach function spaces
• AL-spaces and AM-spaces of operators
• On some Banach lattices. IV
• Intermediate spaces and interpolation, the complex method
• Tensor Products of Archimedean Vector Lattices
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces

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