Seminário Análise Funcional e Aplicações 

02/04/2004, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Nikolai Nikolskii, Université de Bordeaux, France, and Steklov Institute of Mathematics, St. Petersburg, Russia

Some Unsolved Problems around $H^{\infty }$ and Operator Theory

We give an account and discuss some open problems related to the following topics:

• Efficient inversions (for the Wiener algebra, Wiener-Hopf operators, and quotient algebras of $H^{\infty }$);
• Weak generators in quotient algebras of $H^{\infty }$;
• Operator corona problem and approximation property.