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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 75–85 (Mi znsl4724)  
Products of orthoprojectors and a theorem of Crimmins

Kh. D. Ikramov

Moscow State University, Moscow, Russia
Full-text PDF (540 kB) English version article
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Abstract: A proof of the following result, due to T. Crimmins, is proposed: A matrix $A\in M_n(\mathbf C)$ can be represented as a product of orthoprojectors $P$ and $Q$ if and only if $A$ satisfies the equation $A^2=AA^*A$.
Key words and phrases: orthoprojector, invariant subspace, unitary quasidiagonalizable matrices.
Received: 25.05.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 787–792
DOI: https://doi.org/10.1007/s10958-012-0786-3
Bibliographic databases:
Document Type: Article
UDC: 512.64
Language: Russian
Citation: Kh. D. Ikramov, “Products of orthoprojectors and a theorem of Crimmins”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 75–85; J. Math. Sci. (N. Y.), 182:6 (2012), 787–792
Citation in format AMSBIB
\Bibitem{Ikr11}
\by Kh.~D.~Ikramov
\paper Products of orthoprojectors and a~theorem of Crimmins
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 75--85
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4724}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2870163}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 787--792
\crossref{https://doi.org/10.1007/s10958-012-0786-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861764936}
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