Séminaires :
Séminaire d'Analyse Fonctionnelle
Equipe(s) :
af,
Responsables :
E. Abakoumov - A.Eskenazis - D. Cordero-Erausquin - M. Fathi - O. Guédon - B. Maurey
Email des responsables :
Salle :
salle 13 - couloir 15-16 - 4ème étage
Adresse :
Campus Pierre et Marie Curie
Description
Le Jeudi à 10h30 - IMJ-PRG - 4 place Jussieu - 75005 PARIS
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Orateur(s)
Richard Lechner - Linz,
Titre
Factorization through operators with large diagonal
Date
03/12/2015
Horaire
10:30 à 12:00
Diffusion
Résume
Given a Banach space~$X$ with an unconditional basis, we consider the following question: does the identity on~$X$ factor through every bounded operator on~$X$ with large diagonal relative to the unconditional basis? We show that on Gowers' space with its unconditional basis there exists an operator for which the answer to the question is negative. By contrast, for any operator on the mixed-norm Hardy spaces $H^p(H^q)$, where $1 \leq p,q < \infty$, with the bi-parameter Haar system, this problem always has a positive solution. The one-parameter $H^p$ spaces were treated first by Andrew in $1979$.
Salle
salle 13 - couloir 15-16 - 4ème étage
Adresse
Campus Pierre et Marie Curie
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