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APRG Seminar

Title: The operator Fejer-Riesz theorem in two variables, II
Speaker: Michael Dritschel (Newcastle University, UK)
Date: 29 May 2024
Time: 11:30 am
Venue: LH-1, Mathematics Department

Here the proof that a positive (but not necessarily strictly positive) trigonometric polynomial with matrix coefficients can be written as a finite sum of hermitian squares of analytic polynomials is sketched. The difficulties in the case of such polynomials with coefficients which are operators on an infinite dimensional Hilbert space is also briefly discussed.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024