Compactness conditions for elementary operators

• Autorzy: Matej Brešar , Yuri V. Turovskii
• Języki publikacji: EN

Abstrakty

EN

Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 47B48: Operators on Banach algebras
• 47B07: Operators defined by compactness properties
• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 178
• Numer: 1
• Strony: 1-18

Daty

wydano

2007

Twórcy

autor

Matej Brešar

• Department of Mathematics, University of Maribor, PEF, Koroška 160, 2000 Maribor, Slovenia

autor

Yuri V. Turovskii

• Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, F. Agaev St. 9, Baku AZ1141, Azerbaijan

Identyfikatory

DOI

10.4064/sm178-1-1