Biquasitriangularity and spectral continuity
Glasgow mathematical journal, Tome 26 (1985) no. 2, pp. 177-180

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

In [6] Conway and Morrell characterized those operators on Hilbert space that are points of continuity of the spectrum. They also gave necessary and sufficient conditions that a biquasitriangular operator be a point of spectral continuity. Our point of view in this note is slightly different. Given a point T of spectral continuity, we ask what can then be inferred. Several of our results deal with invariant subspaces. We also give some conditions characterizing a biquasitriangular point of spectral continuity (Theorem 3). One of these is that the operator and its adjoint both have the single-valued extension property.
Lange, Ridgley. Biquasitriangularity and spectral continuity. Glasgow mathematical journal, Tome 26 (1985) no. 2, pp. 177-180. doi: 10.1017/S0017089500005966
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