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arXiv · 0806.2357

A mapping from the unitary to doubly stochastic matrices and symbols on a finite set

Alexander V. Karabegov
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Abstract

We prove that the mapping from the unitary to the doubly stochastic matrices that maps a unitary matrix (u_{kl}) to the doubly stochastic matrix (|u_{kl}|^2) is a submersion for almost all unitary matrices. The proof uses the framework of operator symbols on a finite set. We give detailed proofs of the results announced in our earlier preprint.

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Alexander V. Karabegov. 2008-06-14. A mapping from the unitary to doubly stochastic matrices and symbols on a finite set. https://doi.org/10.1063/1.3043870

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