Positive p-summing operators, vector measures and tensor products

DOI10.1017/S0013091500003291zbMath0622.47012OpenAlexW2014392969MaRDI QIDQ3759402

Oscar Blasco

Publication date: 1988

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500003291

zbMATH Keywords

tensor productp-absolutely summingoperators from a Banach lattice into a Banach spacespace of majorizing operatorsspace of vector measures of bounded p-variation

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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Tensor products in functional analysis (46M05)

Related Items (3)

Maurey--Rosenthal factorization of positive operators and convexity ⋮ Positive multiple summing and concave multilinear operators on Banach lattices ⋮ p-VARIATION OF VECTOR MEASURES WITH RESPECT TO BILINEAR MAPS

Cites Work

• Additive set functions on groups
• The theory of \(L^p\)-spaces for finitely additive set functions
• Order bounded operators and tensor products of Banach lattices.

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