Recent and upcoming talks by Tomasz Kochanek

Tomasz Kochanek: Rosenthal’s lemma and its applications

Seminar: Working group in applications of set theory, IMPAN Thursday, 10.01.2019, 10:15, room 105, IMPAN Speaker: Tomasz Kochanek (IMPAN/UW) Title: “Rosenthal’s lemma and its applications ” Abstact: “In this instructional talk we will recall Rosenthal’s lemma on uniformly bounded sequences of measures and present its several classical applications in the Banach space and vector measures theory. continue reading…

Tomasz Kochanek: Bases of Banach spaces with respect to filters

Seminar: Working group in applications of set theory, IMPAN Thursday, 22.11. 2018, 10:15, room 105, IMPAN Speaker: Tomasz Kochanek (IM PAN / MIM UW) Title: “Bases of Banach spaces with respect to filters” Abstact: “In 2011, Vladimir Kadets proposed the following problem: Given a filter F of subsets of natural numbers and a Banach space X, we say that a sequence (e_n) in X forms an F-basis, provided that every x in X has a unique representation as a series of linear combinations of e_n’s, where the convergence is understood in the norm topology and with respect to F. continue reading…