Linear maps respecting unitary conjugation

B. V. Rajarama Bhat

doi:10.15352/bjma/1313362996

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Home > Journals > Banach J. Math. Anal. > Volume 5 > Issue 2 > Article

2011 Linear maps respecting unitary conjugation

B. V. Rajarama Bhat

Banach J. Math. Anal. 5(2): 1-5 (2011). DOI: 10.15352/bjma/1313362996

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Abstract

We characterize linear maps on von Neumann algebras which leave every unital subalgebra invariant. We use this characterization to determine linear maps which respect unitary conjugation, answering a question of M. S. Moslehian.