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Zbl 1026.46043
Hadwin, Don; Larson, David R.
Completely rank-nonincreasing linear maps. (English)
[J] J. Funct. Anal. 199, No.1, 210-227 (2003). ISSN 0022-1236

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 2000:: *46L05 General theory of C*-algebras
47B49 Transformers (=operators on spaces of operators)
47A99 General theory of single linear operators

Keywords: Rank-nonincreasing; Completely rank-nonincreasing; Completely bounded; Joint similarity orbit

Cited in: Zbl 1091.15020 Zbl 1058.47031

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Zentralblatt MATH Berlin [Germany]