The manifolds of self-adjoint operators with multiple eigenvalues
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 2, pp. 148-157
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The manifolds of self-adjoint Hilbert–Schmidt operators with fixed conditions of multiplicity of eigenvalues are considered; the orthogonality of these manifolds is proved. The manifold \{(operator, eigenvalue, eigenvector)\} and the manifold \{(operator, eigenvector)\} are considered too.
@article{JMAG_2001_8_2_a3,
author = {Ya. M. Dymarskii},
title = {The manifolds of self-adjoint operators with multiple eigenvalues},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {148--157},
year = {2001},
volume = {8},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_2_a3/}
}
Ya. M. Dymarskii. The manifolds of self-adjoint operators with multiple eigenvalues. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 2, pp. 148-157. http://geodesic.mathdoc.fr/item/JMAG_2001_8_2_a3/