Geometric significance of Toeplitz kernels
Functional Analysis
2016-08-23 v1 Mathematical Physics
Differential Geometry
math.MP
Operator Algebras
Abstract
Let be the Lebesgue space of square-integrable functions on the unit circle. We show that the injectivity problem for Toeplitz operators is linked to the existence of geodesics in the Grassmann manifold of . We also investigate this connection in the context of restricted Grassmann manifolds associated to -Schatten ideals and essentially commuting projections.
Cite
@article{arxiv.1608.05737,
title = {Geometric significance of Toeplitz kernels},
author = {Esteban Andruchow and Eduardo Chiumiento and Gabriel Larotonda},
journal= {arXiv preprint arXiv:1608.05737},
year = {2016}
}
Comments
28 pages