Department of Mathematics

Indian Institute Of Technology Madras , Chennai

Equivalence of three grand theorems of Functional Analysis

Speaker : MD Hasan Ali Biswas, Junior Research Fellow, Department of Mathematics, IITM

13-08-2018

Abstract :

The uniform boundedness principle, the open mapping theorem and the closed graph theorem are considered as three grand theorems in functional analysis. These theorems have a lot of applications in different fields. In this talk, we will give an elementary proof of the uniform boundedness principle using basic real analysis tools and will establish the equivalence of these theorems in the Hilbert space setting. This talk will be based on Prof. S Kesavan's article "A Note on the Grand Theorems of Functional Analysis", which appeared in Mathematical Newsletter (Volume 27, No. 3, December - March 2017). This talk will be accessible to all.

Key Speaker MD Hasan Ali Biswas, Junior Research Fellow, Department of Mathematics, IITM
Place NAC 519
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None