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Eigenvalues of functions of orthogonal projectors

✍ Scribed by Oskar Maria Baksalary; Götz Trenkler

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
202 KB
Volume
431
Category
Article
ISSN
0024-3795

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Several results scattered in the literature express an oblique projector having given onto and along spaces in terms of a pair of orthogonal projectors. The results were established in various settings, including finite and infinite dimensional vector spaces over either real or complex numbers, but

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It IS shown that, for many of the symmetry groups unportant m physics and chemistry, a complete symmetry anrlysls may bc based ducctly on the character tables. Elements al the full matrix reprcscntatlons previously used for this pUrpOSC are not requued The technique is Illustrated In the groups Ss.