Journal of Mathematical Sciences

, Volume 224, Issue 6, pp 861–868 | Cite as

Decompositions of Pseudo-Unitary and Centro-Unitary Matrices

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Consider C n as the pseudo-unitary space with the inner product defined by the matrix \( {p}_n=\left(\begin{array}{l}\kern4em 1\hfill \\ {}\kern3em 1\hfill \\ {}\kern1em \dots \hfill \\ {}1\hfill \end{array}\right) \) .

In this space, centro-unitary matrices play the role of unitary operators.

The main result of this paper is a factorization of an arbitrary centro-unitary matrix of even order into a product of simpler centro-unitary matrices. This result is an implication of a similar fact concerning factorizations of pseudo-unitary matrices of the type (n, n).

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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Moscow Lomonosov State UniversityMoscowRussia

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