Previous talks this semester:
7.11 at 2.15 pm. Room 403.
Piotr Koszmider (IMPAN).
On the existence of universal uniform Eberlein compacta and universal Hilbert generated Banach spaces
Abstract: "A compact Hausdorff space K is said to be uniform Eberlein (UEC) if it embeds into
a Hilbert space with the weak topology. A Banach space X is said to be Hilbert generated (HG) if there
is a bounded linear operator from a Hilbert space into X with its range dense in X. In this series of talks
we will review classical results of Benyamini, Rudin and Wage concerning these spaces like the fact that if a Banach space
X is HG, then the dual ball BX* with the weak* topology is a UEC or that K is a UEC if and only if C(K) is HG.
Then we will prove that the existence of a UEC of weight continuum which continuously maps
onto all UECs of weight continuum as well as the existence of a HG space of density continuum which contains
isomorphic/isometric copies of all HG spaces of density continuum are independent from the axioms of ZFC.
The results concerning the universal objects are from M. Bell,
Universal uniform Eberlein compact spaces.
Proc. Am. Math. Soc. 128, No. 7, 2191-2197 (2000) and C. Brech, P. Koszmider,
On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts.
Proc. Am. Math. Soc. 141, No. 4, 1267-1280 (2013)."
24.10 at 2.15 pm. Room 403.
Małgorzata Rojek (IMPAN/MIMUW).
The non-separability of the Gelfand space of the measure algebra on the circle. Continuation..
17.10 at 2.15 pm. Room 403.
Małgorzata Rojek (IMPAN/MIMUW).
The non-separability of the Gelfand space of the measure algebra on the circle.
Abstract: "In this series of two talks we will study the Gelfand space of the algebra
M(T) of measures on the circle. Although the space arises in a very natural way,
there are still many open questions concerning its topology. During the first talk we will recall basic properties
of the algebra M(T) and introduce some useful tools, in particular the
Riesz products. The main goal of the second talk is to prove that the Gelfand space Δ(M(T)) contains continuum pairwise disjoint open sets".
10.10, 2.30pm, room 321
The public defence of doctoral thesis of Damian Głodkowski.
The thesis is entitled
"Some applications of set theory in Banach spaces and operator algebras". For more details see
https://www.impan.pl/instytut/awanse/materialy-publiczne/doktor/damian-glodkowski/ogloszenie-o-publicznej-obronie.pdf
Talks in the second semester of 2023-24.
Talks in the first semester of 2023-24.
Talks in the second semester of 2022-23.
Talks in the first semester of 2022-23.
Talks in the second semester of 2021-22.
Talks in the first semester of 2021-22.
Talks in the second semester of 2020-21.
Talks in the first semester of 2020-21.
Talks in the second semester of 2019-20.
Talks in the first semester of 2019-20.
Talks in the second semester of 2018-19.
Talks in the first semester of 2018-19.
Talks in the second semester of 2017-18.
Talks in the first semester of 2017-18.
Talks in the second semester of 2016-17.
Talks in the first semester of 2016-17.
Talks in the second semester of 2015-16.
Talks in the first semester of 2015-16.
Talks in the second semester of 2014-15.
Talks in the first semester of 2014-15.
Talks in the second semester of 2013-14.
Talks in the first semester of 2013-14.
Talks in the second semester of 2012-13.
Talks in the first semester of 2012-13.
Talks in the second semester of 2011-12.
Talks in the first semester of 2011-12.
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