Factorization of positive multilinear maps
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Publication:1080147
zbMath0599.47055MaRDI QIDQ1080147
Publication date: 1984
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
positive projective tensor product of Banach latticesstrong-type factorization theorems for positive multilinear operators
Banach lattices (46B42) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on ordered spaces (47B60) Tensor products in functional analysis (46M05)
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On Extension of Positive Multilinear Operators ⋮ Multilinear variants of the Maurey factorization theorem ⋮ Sums of disjointness preserving multilinear operators ⋮ Pietsch-Maurey-Rosenthal factorization of summing multilinear operators ⋮ The positive Schur property on positive projective tensor products and spaces of regular multilinear operators ⋮ Left general fractional monotone approximation theory ⋮ Unnamed Item ⋮ Bases in the space of regular multilinear operators on Banach lattices ⋮ Complex vector lattices via functional completions ⋮ Maharam-type kernel representation for operators with a trigonometric domination ⋮ Interpolation of Fremlin tensor products and Schur factorization of matrices ⋮ Multilinear duality and factorisation for Brascamp-Lieb-type inequalities ⋮ On extension of positive multilinear operators ⋮ The extremal structure of convex sets of multilinear operators ⋮ Some geometric properties inherited by the positive tensor products of atomic Banach lattices ⋮ On positive tensor products of \(\ell_p\)-spaces ⋮ Factoring multi-sublinear maps ⋮ Polynomials on Banach lattices and positive tensor products ⋮ Complementation in the Fremlin vector lattice symmetric tensor products-I ⋮ Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets ⋮ Sharp anisotropic Hardy-Littlewood inequality for positive multilinear forms ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Complementation in the Fremlin vector lattice symmetric tensor products. II ⋮ Fremlin tensor products of concavifications of Banach lattices ⋮ Polynomial versions of almost Dunford-Pettis sets and almost limited sets in Banach lattices ⋮ Polynomial versions of weak Dunford-Pettis properties in Banach lattices ⋮ Extension and factorization of Riesz \(n\)-morphisms on pre-Riesz spaces ⋮ Kakeya-Brascamp-Lieb inequalities ⋮ Completability and optimal factorization norms in tensor products of Banach function spaces ⋮ Reflexivity for spaces of regular operators on Banach lattices
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