Geodesic
Compact Operators in Reductive Algebras
Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 152-154

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

Let be a Hilbert space and denote the collection of (bounded, linear) operators on by . Throughout this paper, the term ‘algebra’ will refer to a subalgebra of ; unless otherwise stated, it will not be assumed to contain I or to be closed in any topology.An algebra is said to be transitive if it has no non-trivial invariant subspaces. The following lemma has revolutionized the study of transitive algebras. For a pr∞f and a general discussion of its implications, the reader is referred to [5]. 
Azoff, Edward A. Compact Operators in Reductive Algebras. Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 152-154. doi: 10.4153/CJM-1975-019-9
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