Dept. of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI) has organised an colloquium on “On isometries on some Banach spaces and their spectrum” by Professor Dijana Ilisevic, University of Zagreb, Croatia on 16 April 2021.
Title: On isometries on some Banach spaces and their spectrum
Abstract
Isometries are maps between metric spaces which preserve distance between elements. In this talk we first recall the structure of (surjective) linear isometries on some important Banach spaces. Basic introductory material will be followed by recent results related to the following problem: when is a given finite set of modulus one complex numbers the spectrum of a linear isometry on a complex Banach space? Necessary conditions on such a set will be presented. Since sufficient conditions are related to the structure of specific Banach spaces, some particular cases will be considered and insightful examples will be given.
| Faculty/Staff Name | Details |
|---|---|
| Stephan Baier | Mathematics – Belur Campus |
| Sudeshna Basu (Primary Coordinator) | Mathematics – Belur Campus |
| RKMVERI Faculty & Staff | 40 |
| RKMVERI Students | 40 |