Geodesic
A System of Operator Equations
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 200-209

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

Let be a separable Hilbert space, the algebra of all bounded operators on and Ai, Bi, ∊ , i = 1,. . . , r. It is shown that if no nontrivial linear combination of the operators A i, is compact, then there exist X, Y ∊ such that X Ai, Y = B i, for all i. A related (but much milder) result is discussed in other algebras with the unique maximal ideal and an application to elementary operators is given.
DOI : 10.4153/CMB-1987-029-2
Mots-clés : Primary 47A62, Secondary 16A53 
Magajna, Bojan. A System of Operator Equations. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 200-209. doi: 10.4153/CMB-1987-029-2
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