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On unitarily transposable matrices

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Abstract

Matrices A ∈ Mn(C) such that

$$A^T = Q^* AQ$$
(1)

for a certain unitary matrix Q are examined. Several classes of matrices possessing this property are indicated. Under certain assumptions on A, two conditions necessary for (1) to hold are provided. Bibliography: 6 titles.

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References

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    Kh. D. Ikramov

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  1. Kh. D. Ikramov
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Correspondence to Kh. D. Ikramov.

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__________

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 346, 2007, pp. 39–48.

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Ikramov, K.D. On unitarily transposable matrices. J Math Sci 150, 1937–1942 (2008). https://doi.org/10.1007/s10958-008-0108-y

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  • DOI: https://doi.org/10.1007/s10958-008-0108-y

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