Given two n-tuples and of bounded linear operators on a Hilbert space the question of when there exists an elementary operator E such that 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 .
@article{bwmeta1.element.bwnjournal-article-smv105i1p77bwm,
author = {Bojan Magajna},
title = {Interpolation by elementary operators},
journal = {Studia Mathematica},
volume = {104},
year = {1993},
pages = {77-92},
zbl = {0812.47030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv105i1p77bwm}
}
Magajna, Bojan. Interpolation by elementary operators. Studia Mathematica, Tome 104 (1993) pp. 77-92. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv105i1p77bwm/
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