|
Next talk of the Seminar (11:00, Room 11.2.21)
03/04/2025: “Factorization and maximal functions of Toeplitz kernels”
Carlos Carteiro (Instituto
Superior Técnico, Universidade de Lisboa)
Factorization techniques are
powerful tools for solving problems by reducing them to simpler ones, much
like polynomial factorization helps find roots or matrix factorization aids
in solving systems of linear equations. When studying Toeplitz operators, factorizations
such as the Wiener-Hopf factorization provide insights into invertibility,
Fredholm properties, kernels, cokernels, and even left/right regularizers. However, many Toeplitz operators cannot
be analyzed using Wiener-Hopf factorization. Therefore, we explore
alternative methods to characterize Toeplitz kernels, including different
types of factorizations, multipliers onto simpler spaces, and maximal functions.
This seminar is supported in part by FCT –
Portuguese Foundation for Science and Technology, under the FCT
Multi-Annual Financing Program, through the Center for Research and
Development in Mathematics and Applications (CIDMA) of Universidade de
Aveiro.
|
