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UID:5726@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230227T110000
DTEND;TZID=Europe/Paris:20230227T120000
DTSTAMP:20241120T200159Z
URL:https://www.i2m.univ-amu.fr/evenements/uniqueness-of-the-multiplier-fu
 nctional-calculus-for-pure-k-contractions/
SUMMARY:Sebastian Toth (Universität des Saarlandes\, Saarbrücken): Unique
 ness of the multiplier functional calculus for pure K-contractions
DESCRIPTION:Sebastian Toth: For a contraction T ∈ B(H) of class C⋅0\, t
 hat is SOT– limn→∞(T*)n = 0\, there exists a weak-*-continuous funct
 ional calculus for H∞\, the algebra of bounded holomorphic functions\, f
 irst introduced by SZ.-Nagy and Foiaş. In 1986\, T. Miller\, R. Olin and 
 J. Thomson proved a corresponding uniqueness statement: any continuous uni
 tal algebra homomorphism π : H∞→ B(H) with π(z) = T is weak-*-contin
 uous and hence uniquely determined by π(z).\nI will talk about a modified
  proof of the T. Miller\, R. Olin and J. Thomson theorem. Using these modi
 fications one can show for a large class of reproducing kernel Hilbert spa
 ces K\, including the Drury-Arveson space or the Dirichlet space on the un
 it ball\, that the multiplier functional calculus for K-contractions\, sat
 isfying in addition a suitable C⋅0-condition\, is weak-*-continuous and 
 hence uniquely determined. This is joint work with Michael Hartz.\n&nbsp\;
 \n\n&nbsp\;\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 023/02/Sebastian_Toth.png
CATEGORIES:Séminaire,Analyse et Géométrie
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
 0
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