Geodesic
On the unitary invariants of the family of one-dimensional subspaces
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 52, Tome 516 (2022), pp. 65-68

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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. 
@article{ZNSL_2022_516_a3,
     author = {D. V. Korikov},
     title = {On the unitary invariants of the family of one-dimensional subspaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {65--68},
     publisher = {mathdoc},
     volume = {516},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_516_a3/}
}
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D. V. Korikov. On the unitary invariants of the family of one-dimensional subspaces. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 52, Tome 516 (2022), pp. 65-68. http://geodesic.mathdoc.fr/item/ZNSL_2022_516_a3/