[Settfa] Tuesday 09/10, Sheldon Dantas

kubis at math.cas.cz kubis at math.cas.cz
Sat Oct 6 21:00:02 CEST 2018


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 Tuesday 9th October, 10:00am 
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 Speaker:Sheldon Dantas, Czech Technical University in Prague
 Title: Some Bishop-Phelps-Bollobas type properties

 Abstract  

In Banach space theory, it is well known that the set of all norm attaining continuous linear functionals defined on a Banach space $X$ is dense in its topological dual space $X^*$. In 1970, it was strengthened by Bollobás who proved a quantitative version of it. This is known nowadays as the Bishop-Phelps-Bollobás theorem. On the other hand, Lindenstrauss gave the first counterexample to show that these theorems are no longer true for bounded linear operators, which motivated, in 2008, Acosta, Aron, García, and Maestre to define the Bishop-Phelps-Bollobás property (BPBp, for short) for operators. In this talk, we define some (local and uniform) properties related to the BPBp and compare them with each other.



 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .



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