Antilinear operators and special matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 119-126
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The following facts are proved: (a) Concommutation of complex matrices means the conventional commutation of the antilinear operators defined by these matrices. (b) Symmetric, skew-symmetric, unitary, and conjugate-normal matrices interpreted as antilinear operators acting in the unitary space $\mathbb C^n$ are Hermitian, skew-Hermitian, unitary, and normal operators, respectively.
@article{ZNSL_2012_405_a8,
author = {Kh. D. Ikramov},
title = {Antilinear operators and special matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {119--126},
publisher = {mathdoc},
volume = {405},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a8/}
}
Kh. D. Ikramov. Antilinear operators and special matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 119-126. http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a8/