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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 516, Pages 65–68 (Mi znsl7269)  
On the unitary invariants of the family of one-dimensional subspaces

D. V. Korikov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: The paper provides a complete system of the numerical unitary invariants of the finite family of subspaces in the Hilbert space. The invariants are the angles between the subspaces and the sums of subspaces, which belong to the family.
Key words and phrases: finite family of subspaces, complete system of unitary invariants of the family.
Received: 15.10.2022
Bibliographic databases:
Document Type: Article
UDC: 517.982.25, 517.983.243
Language: Russian
Citation: D. V. Korikov, “On the unitary invariants of the family of one-dimensional subspaces”, Mathematical problems in the theory of wave propagation. Part 52, Zap. Nauchn. Sem. POMI, 516, POMI, St. Petersburg, 2022, 65–68
Citation in format AMSBIB
\Bibitem{Kor22}
\by D.~V.~Korikov
\paper On the unitary invariants of the family of one-dimensional subspaces
\inbook Mathematical problems in the theory of wave propagation. Part~52
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 516
\pages 65--68
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7269}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4521403}
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  • https://www.mathnet.ru/eng/znsl/v516/p65
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