ICTP Mathematics Seminar - TOMORROW - Tuesday 19 September, at 14:00 - Gustavo Araújo

[ICTP Math Section]

_ICTP MATHEMATICS SEMINAR_

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TOMORROW - Tuesday 19 September, at 14:00


*Venue*: Luigi Stasi seminar room (Leonardo da Vinci Building)

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*Speaker:*

Gustavo Araújo (UEPB, Brazil)

*Title:*

Quantitative and qualitative estimates on the norm of product of polynomials

*Abstract:*

When for the first time, in 1987, a Banach space /X/ and a bounded 
operator /T/ : /X/→/X/ with no trivial invariant subspaces was 
constructed, two of the many tools used by P.H. Enflo was the 
“concentration of polynomials at low degrees” and a series of estimates 
on the norm of products of polynomials. The concept of concentration of 
polynomials at low degrees has been adapted to other norms and one of 
these adaptations falls within the case of sets with gaps or missing 
portions (the so-called lacunary sets). Here we deepen into the study of 
these two concepts and, among other things, we present a result on 
estimates of lacunary norms of product of polynomials.


/This is a joint work with P.H. Enflo, G.A. Muñoz-Fernández, D.L. 
Rodríguez-Vidanes and J.B. Seoane-Sepúlveda./

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https://indico.ictp.it/event/10542/<https://indico.ictp.it/event/10541/>