Geodesic
Operators with Compact Self-Commutator
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 115-120

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a fixed separable, infinite dimensional complex Hilbert space, and let () denote the algebra of all (bounded, linear) operators on . The ideal of all compact operators on will be denoted by and the canonical quotient map from () onto the Calkin algebra ()/ will be denoted by π.Some open problems in the theory of extensions of C*-algebras (cf. [1]) have recently motivated an increasing interest in the class of all operators in () whose self-commuta tor is compact. 
Pearcy, Carl; Salinas, Norberto. Operators with Compact Self-Commutator. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 115-120. doi: 10.4153/CJM-1974-012-2
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