On Rank One Commutators and Triangular Representations
Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 268-273

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DOI

Starting with the extension of Lomonosov's Lemma by Tychonoff fixed point theorem, a result of Daughtry and Kim — Pearcy-Shields on rank-one commutators is extended to the context of locally convex spaces. Non-zero diagonal coefficients, eigenvalues and simultaneous triangular representations of compact operators on locally convex spaces are studied.
DOI : 10.4153/CMB-1986-041-1
Mots-clés : 47A10, 47A67, Lomonosov technique, rank one commutators, invariant subspaces, compact non-selfadjoint, diagonal coefficients, eigenvalues, triangular representations, Riesz theory
Ma, Tsoy-Wo. On Rank One Commutators and Triangular Representations. Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 268-273. doi: 10.4153/CMB-1986-041-1
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