Geodesic
Simultaneous Triangularization of Algebras of Polynomially Compact Operators
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 260-264

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DOI

If A is a norm closed algebra of compact operators on a Hilbert space and if its Jacobson radical J(A) consists of all quasinilpotent operators in A then A/ J(A) is commutative. The result is not valid for a general algebra of polynomially compact operators.
DOI : 10.4153/CMB-1991-042-6
Mots-clés : 47B05, 47D25 
Radjabalipour, M. Simultaneous Triangularization of Algebras of Polynomially Compact Operators. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 260-264. doi: 10.4153/CMB-1991-042-6
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     title = {Simultaneous {Triangularization} of {Algebras} of {Polynomially} {Compact} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {260--264},
     year = {1991},
     volume = {34},
     number = {2},
     doi = {10.4153/CMB-1991-042-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-042-6/}
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