Geodesic
A Class of Polynomials in Self-Adjoint Operators in Spaces with an Indefinite Metric
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 673-678

Voir la notice de l'article provenant de la source Cambridge University Press

Let H be a Hilbert space with the usual product [x, y] and with an indefinite inner product (x, y) which, for some orthogonal decomposition in H, is defined by where and dim H 1 = κ, a fixed positive integer. 
Lo, C.-Y. A Class of Polynomials in Self-Adjoint Operators in Spaces with an Indefinite Metric. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 673-678. doi: 10.4153/CJM-1968-065-3
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[1] 1. Iohvidov, I. S. and Kreïn, M. G., Spectral theory of operators in spaces with an indefinite metric. I, Transi. Amer. Math. Soc. (2), 13 (1960), 105-176; II, Transi. Amer. Math. Soc. (2), 84 (1963), 283–374. Google Scholar

[2] 2. Pontryagin, L. S., Hermitian operators in spaces with indefinite metric, Izv. Akad. Nauk SSSR Ser. Mat, 8 (1944), 243–280. (Russian) Google Scholar

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