[Report] Colloquia on “Diameter 2 properties in duals of ideals in Banach spaces” by Professor Sudeshna Basu – 19 August 2025

REPORT
Special Lecture: Colloquia on “Diameter 2 properties in duals of ideals in Banach spaces” by Professor Sudeshna Basu – 19 August 2025
Type: Special Lecture – Colloquium
Event Date: 19 Aug 2025
Venue: Dept. of Mathematics, RKMVERI
Campus: Belur Campus
Department: Mathematics
Program: MSc in Mathematics

Dept. of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI) has organised an colloquia on “Diameter 2 properties in duals of ideals in Banach spaces” by Professor Sudeshna Basu, Loyola University, Baltimore, Maryland, USA on 19 August 2025.

Title: Diameter 2 properties in duals of ideals in Banach spaces

Abstract

Diameter 2 properties were first introduced by O. Nygaard and D. Werner and subsequently studiedn extensively by J. Guerrero, G. Lopez-Perez, and A. Zoca among others. In this short note, we prove that the dual of an M ideal of a Banach space X has w*-strong D2P (Slice 2P) if X* has w*-strong D2P (Slice 2P). We explore similar results in the context of C(K)-spaces and duals of strict ideals.

Activity Coordinator(s)
Faculty/Staff Name Details
Stephan Baier (Primary Coordinator) Mathematics – Belur Campus
Participant Information
RKMVERI Faculty & Staff 8
RKMVERI Students 40