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Subjects
47-XX Operator theory
47Axx General theory of linear operators
47A62 Equations involving linear operators, with operator unknowns

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Interpolation by elementary operators

Bojan Magajna (1993)

Studia Mathematica

Given two n-tuples $a = (a_{1}, . . ., a_{n})$ and $b = (b_{1}, . . ., b_{n})$ of bounded linear operators on a Hilbert space the question of when there exists an elementary operator E such that $E a_{j} = b_{j}$ for all j =1,...,n, is studied. The analogous question for left multiplications (instead of elementary operators) is answered in any C*-algebra A, as a consequence of the characterization of closed left A-submodules in $A^{n}$ .

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