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UID:8245@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20141117T100000
DTEND;TZID=Europe/Paris:20141117T110000
DTSTAMP:20241120T210310Z
URL:https://www.i2m.univ-amu.fr/evenements/sur-une-generalisation-naturell
 e-des-rho-contractions/
SUMMARY:Bernard Chevreau (IMB\, Université de Bordeaux 1): Sur une génér
 alisation naturelle des rho-contractions
DESCRIPTION:Bernard Chevreau: On a natural generalization of rho-contractio
 ns\nA result of Eckstein asserts that for any ρ-contraction T on a Hilber
 t space H the sequence (∥Tnh∥)n is convergent for any h ϵ H. We show 
 that this remains true for a natural generalization of the class of ρ-con
 tractions\, which we call the class of (ρ\,N)-contractions (notation: Cρ
 \,N(H)). Our argument follows the lines of Mlak's proof of Eckstein's resu
 lt\, but is somewhat simplified by a study of coisometric (ρ\,N)-dilation
 s of these operators\, which seems to be of independent interest. Along th
 e way we also point out that Gavruta's example extends to the class of (ρ
 \,N)-contractions. Namely\, let C∞\,∞(H) := [∪\,NC\,N(H)\; then\, fo
 r any integer p &gt\; 1\, there exists an operator T such that Tp = I and 
 T ∉ C∞\,∞(H).\nhttps://hal.archives-ouvertes.fr/hal-02924729/\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Bernard_Chevreau.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20141026T020000
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