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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.982.25, 517.983.243

Received: 15.10.2022



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