Completely rank-nonincreasing linear maps. (English) Zbl 1026.46043
Summary: We give purely algebraic characterizations of the maps that are approximate compressions or skew-compressions of a unital representation of a \(C^*\)-algebra. The key techniques used also relate to closures of joint similarity orbits of matrices and elementary maps on \(B(H)\).
MSC:
| 46L05 | General theory of \(C^*\)-algebras |
| 47B49 | Transformers, preservers (linear operators on spaces of linear operators) |
| 47A99 | General theory of linear operators |
Keywords:
Rank-nonincreasing; Completely rank-nonincreasing; Completely bounded; Joint similarity orbitReferences:
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