Polar decomposition of order bounded disjointness preserving operators

DOI10.1090/S0002-9939-03-07007-2zbMath1042.46005OpenAlexW1602583377MaRDI QIDQ4441792

Karim Boulabiar, G. J. H. M. Buskes

Publication date: 7 January 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07007-2

zbMATH Keywords

polar decompositiondisjointness preserving operatorsorder bounded operators

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (6)

Lateral order on complex vector lattices and narrow operators ⋮ On order bounded disjointness preserving operators ⋮ New axiomatizable classes of Banach spaces via disjointness-preserving isometries ⋮ A strongly diagonal power of algebraic order bounded disjointness preserving operators ⋮ Maximal ideals of disjointness preserving operators ⋮ Problems of existence of order copies of \(\ell ^\infty\) and \(L_p(\nu )\) in some non-Banach Köthe spaces

Cites Work

• Banach lattices
• Disjointness preserving operators on complex Riesz spaces
• Ordered linear spaces
• A Note on Disjointness Preserving Operators
• Orthomorphisms of archimedean vector lattices
• Small Riesz spaces
• Inverses of disjointness preserving operators
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