Geometric significance of Toeplitz kernels

Andruchow, Esteban; Chiumiento, Eduardo Hernan; Larotonda, Gabriel Andrés

info:eu-repo/semantics/article

Date

2018-07

Registration in:

Andruchow, Esteban; Chiumiento, Eduardo Hernan; Larotonda, Gabriel Andrés; Geometric significance of Toeplitz kernels; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 275; 2; 7-2018; 329-355

0022-1236

http://hdl.handle.net/11336/87432

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4352236

Author

Andruchow, Esteban

Chiumiento, Eduardo Hernan

Larotonda, Gabriel Andrés

Institutions

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Abstract

Let L2 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 L2. We also investigate this connection in the context of restricted Grassmann manifolds associated to p-Schatten ideals and essentially commuting projections.

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