Minimal length curves in unitary orbits of a Hermitian compact operator
Functional Analysis
2015-06-23 v1 Operator Algebras
Abstract
We study some examples of minimal length curves in homogeneous spaces of B(H) under a left action of a unitary group. Recent results relate these curves with the existence of minimal (with respect to a quotient norm) anti-Hermitian operators Z in the tangent space of the starting point. We show minimal curves that are not of this type but nevertheless can be approximated uniformly by those.
Keywords
Cite
@article{arxiv.1506.06177,
title = {Minimal length curves in unitary orbits of a Hermitian compact operator},
author = {Tamara Bottazzi and Alejandro Varela},
journal= {arXiv preprint arXiv:1506.06177},
year = {2015}
}