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UID:8216@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20141211T110000
DTEND;TZID=Europe/Paris:20141211T120000
DTSTAMP:20241120T210111Z
URL:https://www.i2m.univ-amu.fr/evenements/commutativity-of-operator-tuple
 s/
SUMMARY:Kehe Zhu (Department of Mathematics and Statistics\, State Universi
 ty of New York at Albany): Commutativity of operator tuples
DESCRIPTION:Kehe Zhu: Suppose A = (A1\,...\,An) is a tuple of N × N normal
  matrices. We show that the matrices in the tuple pairwise commute if and 
 only if the polynomial p(z1\,...\,zn) = det(I + z1A1 + ... + znAn) is comp
 letely reducible\, namely\, it can be factored into a product of linear po
 lynomials. We will also generalize the result to the case of self-adjoint 
 compact operators on a Hilbert space.\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Kehe_Zhu.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20141026T020000
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