The Schur-Horn theorem for operators with three point spectrum

Details The Schur-Horn theorem for operators with three point spectrum The Schur-Horn theorem for operators with three point spectrum

2010-10-08

arxiv.org/abs/1010.1786v2

Mathematics

Functional Analysis

Scientific paper

We characterize the set of diagonals of the unitary orbit of a self-adjoint
operator with three points in the spectrum. Our result gives a Schur-Horn
theorem for operators with three point spectrum analogous to Kadison's result
for orthogonal projections.

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