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Distance between Hermitian operators in Schatten classes
Published online by Cambridge University Press: 20 January 2009
Abstract
We consider the distance between a fixed Hermitian operator B and the unitary orbit of another Hermitian operator A and show that in each Schatten p-class, 1<p<∞, critical points of this distance function are at operators commuting with B. As a consequence we obtain a perturbation bound for the eigenvalues of Hermitian operators in these Schatten classes.
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- Copyright © Edinburgh Mathematical Society 1996
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