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- W4288374920 abstract "We study the unitary orbit of a compact Hermitian diagonal operator with spectral multiplicity one under the action of the unitary group U_(K+C) of the unitization of the compact operators K(H)+C, or equivalently, the quotient U_(K+C)/ U_Diag(K+C). We relate this and the action of different unitary subgroups to describe metric geodesics (using a natural distance) which join end points. As a consequence we obtain a local Hopf-Rinow theorem. We also explore cases about the uniqueness of short curves and prove that there exist some of these that cannot be parameterized using minimal anti-Hermitian operators of K(H)+C." @default.
- W4288374920 created "2022-07-29" @default.
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- W4288374920 date "2019-04-07" @default.
- W4288374920 modified "2023-10-18" @default.
- W4288374920 title "Geodesic neighborhoods in unitary orbits of self-adjoint operators of K+C" @default.
- W4288374920 doi "https://doi.org/10.48550/arxiv.1904.03650" @default.
- W4288374920 hasPublicationYear "2019" @default.
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