Relative weak compactness of solid hulls in Banach lattices

DOI10.1016/S0019-3577(98)80017-7zbMath0922.46017OpenAlexW2055363305MaRDI QIDQ1279779

K. Appert

Publication date: 14 October 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(98)80017-7

zbMATH Keywords

Banach latticerelatively weakly compact setorder continuous normsolid hullfactorization of compact and weakly compact operators through reflexive Banach latticesorder direct sum of a KB-space and an atomic Banach lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Ordered normed spaces (46B40)

Related Items (15)

Two-Layer Neural Networks with Values in a Banach Space ⋮ Weakly compactly generated Banach lattices ⋮ On the dual positive Schur property in Banach lattices ⋮ Uo-convergence and its applications to Cesàro means in Banach lattices ⋮ Unbounded norm convergence in Banach lattices ⋮ On the positively limited \(p\)-Schur property in Banach lattices ⋮ Weak fixed point property for a Banach lattice of some compact operator spaces ⋮ Some results on b-AM-compact operators ⋮ Compactness of L-weakly and M-weakly compact operators on Banach lattices ⋮ Shellable weakly compact subsets of \(C[0,1\)] ⋮ Weak and almost Dunford–Pettis operators on Banach lattices ⋮ \(L\)-weakly and \(M\)-weakly compact operators ⋮ Vector lattices of weakly compact operators on Banach lattices ⋮ Some results on unbounded absolute weak Dunford-Pettis operators ⋮ Isometric factorization of vector measures and applications to spaces of integrable functions

Cites Work

• Factorization by lattice homomorphisms
• Banach lattices
• Factoring Compact and Weakly Compact Operators through Reflexive Banach Lattices
• Some Weakly Compact Operators Between Banach Lattices do Not Factor Through Reflexive Banach Lattices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Relative weak compactness of solid hulls in Banach lattices