You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Can Deha Kar\u0131ks\u0131z (\u00d6zye\u011fin University)
\n” Linear dynamical properties of weighted backward shifts on spaces of real analytic functions.”<\/p>\n
Abstract: In this joint work with late Pawel Domanski, we give certain conditions on
\nseveral linear dynamical properties of the weighted backward shift operators
\nB_w: A(\u03a9) \u2192 A(\u03a9),
\nwith weight sequences w = (w_n)n\u2208N, acting on the spaces of real analytic functions A(\u03a9) on open subsets \u03a9 of R containing zero. These are linear continuous operators on A(\u03a9) that send the unit function to the zero function, and the monomials x^n to w_n x^(n\u22121) for all n \u2208 N.
\nTwo main difficulties that arise in this consideration are that the locally convex spaces A(\u03a9), equipped with their natural topology, are non-metrizable and have no Schauder basis. A useful tool for obtaining conditions on hypercyclicity and chaos in this case is the description of the point spectra and the eigenspaces of weighted backward shifts on A(\u03a9).<\/p>\n
Date: Thursday, May 11, 2023
\nTime: 19:00 \u2013 20:00, GMT+3.
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to goncha@fen.bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Can Deha Kar\u0131ks\u0131z (\u00d6zye\u011fin University) ” Linear dynamical properties of weighted backward shifts on spaces of real analytic functions.” Abstract: In this joint work with late Pawel Domanski, we give certain conditions on several linear [\u2026] <\/p>\n