Lateral order on complex vector lattices and narrow operators

DOI10.1002/MANA.202200415MaRDI QIDQ6185672

No author found.

Publication date: 8 January 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Banach lattice Boolean algebra complexification narrow operator regular operator fragment lateral order complex vector lattice

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Linear operators on ordered spaces (47B60) Operators on complex function spaces (47B91)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Narrow operators on function spaces and vector lattices
Singular traces. Theory and applications
Narrow and \(\ell_2\)-strictly singular operators from \(L_p\)
Narrow operators on lattice-normed spaces
Domination problem for \(AM\)-compact abstract Uryson operators
The lateral order on Riesz spaces and orthogonally additive operators
A lattice approach to narrow operators
A characterization of complex lattice homomorphisms
Banach lattices
Richesses du centre d'un espace vectoriel reticule
Disjointness preserving operators on complex Riesz spaces
On the ``function and ``lattice definitions of a narrow operator
Derivations in commutative regular algebras
On compact orthogonally additive operators
On band preserving orthogonally additive operators
On orthogonally additive operators in \(C\)-complete vector lattices
\(\varepsilon\)-shading operator on Riesz spaces and order continuity of orthogonally additive operators
On the sum of narrow orthogonally additive operators
Narrow orthogonally additive operators
Narrow and \(C\)-compact orthogonally additive operators in lattice-normed spaces
On sums of narrow and compact operators
Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
When weak and local measure convergence implies norm convergence
Banach lattices of orthogonally additive operators
On narrow operators from \(L_p\) into operator ideals
Dividing measures and narrow operators
Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators
Lateral continuity and orthogonally additive operators
Polar decomposition of order bounded disjointness preserving operators
Set Theory
ℓ₂-strictly singular operators on the predual of a hyperfinite von Neumann algebra
A noncommutative Gretsky–Ostroy theorem and its applications

This page was built for publication: Lateral order on complex vector lattices and narrow operators