Geodesic
Compactness conditions for elementary operators
Matej Brešar1 ; Yuri V. Turovskii2
1 Department of Mathematics University of Maribor PEF, Koroška 160 2000 Maribor, Slovenia
2 Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan F. Agaev St. 9 Baku AZ1141, Azerbaijan
Studia Mathematica, Tome 178 (2007) no. 1, pp. 1-18

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm178-1-1
Keywords: various topics concerning compact elementary operators banach algebras studied their ranges their coefficients structure algebras having nontrivial compact elementary operators first part paper consider separately elementary operators certain simple types second part obtain main results which general elementary operators

Matej Brešar 1 ; Yuri V. Turovskii 2

1 Department of Mathematics University of Maribor PEF, Koroška 160 2000 Maribor, Slovenia
2 Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan F. Agaev St. 9 Baku AZ1141, Azerbaijan 
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Matej Brešar; Yuri V. Turovskii. Compactness conditions for elementary operators. Studia Mathematica, Tome 178 (2007) no. 1, pp. 1-18. doi: 10.4064/sm178-1-1

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