# Interpolation by elementary operators

Studia Mathematica (1993)

- Volume: 105, Issue: 1, page 77-92
- ISSN: 0039-3223

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topMagajna, Bojan. "Interpolation by elementary operators." Studia Mathematica 105.1 (1993): 77-92. <http://eudml.org/doc/215985>.

@article{Magajna1993,

abstract = {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 $Ea_j = b_j$ 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 $A^n$.},

author = {Magajna, Bojan},

journal = {Studia Mathematica},

keywords = {elementary operators; C*-algebras; multipliers; interpolation by elementary operators; elementary operator; left multiplications; -algebra},

language = {eng},

number = {1},

pages = {77-92},

title = {Interpolation by elementary operators},

url = {http://eudml.org/doc/215985},

volume = {105},

year = {1993},

}

TY - JOUR

AU - Magajna, Bojan

TI - Interpolation by elementary operators

JO - Studia Mathematica

PY - 1993

VL - 105

IS - 1

SP - 77

EP - 92

AB - 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 $Ea_j = b_j$ 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 $A^n$.

LA - eng

KW - elementary operators; C*-algebras; multipliers; interpolation by elementary operators; elementary operator; left multiplications; -algebra

UR - http://eudml.org/doc/215985

ER -

## References

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- [9] B. Magajna, A system of operator equations, Canad. Math. Bull. 30 (1987), 200-209.
- [10] B. Magajna, A transitivity theorem for algebras of elementary operators, Proc. Amer. Math. Soc., to appear. Zbl0799.46068
- [11] M. Mathieu, Elementary operators on prime C*-algebras I, Math. Ann. 284 (1989), 223-244. Zbl0648.46052
- [12] M. Mathieu, Rings of quotients of ultraprime Banach algebras, with applications to elementary operators, Proc. Centre Math. Anal. Austral. Nat. Univ. 21 (1989), 297-317.
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