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UID:7794@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160606T100000
DTEND;TZID=Europe/Paris:20160606T110000
DTSTAMP:20241120T204833Z
URL:https://www.i2m.univ-amu.fr/evenements/completeness-of-rank-one-pertur
 bations-of-normal-operators-with-lacunary-spectrum/
SUMMARY:Anton Baranov (Saint Petersburg State University\, Russia): Complet
 eness of rank one perturbations of normal operators with lacunary spectrum
DESCRIPTION:Anton Baranov: Suppose A is a compact normal operator on a Hilb
 ert space H with certain lacunarity condition on the spectrum (which means
 \, in particular\, that its eigenvaluesgo to zero exponentially fast)\, an
 d let L be its rank one perturbation. We show that either infinitely many 
 moment equalities hold or the linear span of root vectors of L\, correspon
 ding to non-zero eigenvalues\, is of finite codimension in H. In contrast 
 to classical results\, we do not assume the perturbation to be weak.\nhttp
 s://arxiv.org/abs/1510.02717\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Anton_Baranov.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20160327T030000
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