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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 405, Pages 119–126 (Mi znsl5281)  
This article is cited in 2 scientific papers (total in 2 papers)

Antilinear operators and special matrices

Kh. D. Ikramov

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (154 kB) Citations (2)
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Abstract: 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.
Key words and phrases: unitary similarity, unitary congruence, antilinear operator, conjugate-normal matrix.
Received: 05.03.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 191, Issue 1, Pages 65–68
DOI: https://doi.org/10.1007/s10958-013-1302-0
Bibliographic databases:
Document Type: Article
UDC: 512.64
Language: Russian
Citation: Kh. D. Ikramov, “Antilinear operators and special matrices”, Computational methods and algorithms. Part XXV, Zap. Nauchn. Sem. POMI, 405, POMI, St. Petersburg, 2012, 119–126; J. Math. Sci. (N. Y.), 191:1 (2013), 65–68
Citation in format AMSBIB
\Bibitem{Ikr12}
\by Kh.~D.~Ikramov
\paper Antilinear operators and special matrices
\inbook Computational methods and algorithms. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 405
\pages 119--126
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5281}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029615}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 191
\issue 1
\pages 65--68
\crossref{https://doi.org/10.1007/s10958-013-1302-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884977664}
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  • https://www.mathnet.ru/eng/znsl/v405/p119
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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