Once more on positive commutators

• Autorzy: Roman Drnovšek
• Języki publikacji: EN

Abstrakty

EN

Let A and B be bounded operators on a Banach lattice E such that the commutator C = AB - BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of closed ideals of E. This answers an open question posed by Bračič et al. [Positivity 14 (2010)], where the study of positive commutators of positive operators was initiated.

Kategorie tematyczne

• 47B65: Positive operators and order-bounded operators
• 46B42: Banach lattices
• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 211
• Numer: 3
• Strony: 241-245

Daty

wydano

2012

Twórcy

autor

Roman Drnovšek

• Department of Mathematics, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia

Identyfikatory

DOI

10.4064/sm211-3-5