Essentially commuting projections

CHIUMIENTO, EDUARDO; ANDRUCHOW, ESTEBAN; DI IORIO Y LUCERO, EUGENIA

Buenos Aires

Congreso; IV Escuela de Análisis Funcional y Geometría; 2018

In this talk we describe the Grassmann manifold given by projections which commute with a fixed projection. It contains the so-called restricted Grassmannian. The Hopf-Rinow theorem is studied in each connected component, and examples related to shift-invariant subspaces and Toeplitz operators are presented.