Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

A brief motivation for studying invertibility problems

Speaker : Kousik Dhara, Research Scholar, Department of Mathematics, IITM

23-04-2018

Abstract :

The most obvious invertibility problem that one has in mind is whether a given operator is invertible in an algebra of operators or whether a given function is invertible in an algebra of functions. A classical example (solved by Wiener ) is the question of whether the inverse of a non-vanishing function in the algebra of functions with absolutely convergent Fourier series belongs to the same algbera again. Indeed, there are many problems in analysis, operator theory and numerical analysis which turn out to be equivalent to invertibility problems in suitably associated Banach algebras. We shall give various examples to illustrate various invertibilty problems. The talk will be accessible to all (having basic knowledge on real analysis).

Key Speaker Kousik Dhara, Research Scholar, Department of Mathematics, IITM
Place Madhava Hall
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None