Stephan Ramon Garcia, David Sherman, Gary Weiss
Published 2016-05-14Version 1
It is well-known that AB and BA are similar when A and B are complex square Hermitian matrices. In this note we answer a question of F. Zhang by demonstrating that similarity can fail if A is Hermitian and B is normal. Perhaps surprisingly, similarity does hold when A is positive semidefinite and B is normal.
Similarity to an isometry of composition operators on the half-plane
On the metric of the jet bundle and similarity on Dirichlet spaces
Similarity between two projections
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