Geometric significance of Toeplitz kernels

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 as...

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Autores principales: Andruchow, E., Chiumiento, E., Larotonda, G.
Formato: JOUR
Materias:
Geodesic
Sato Grassmannian
Schatten ideal
Toeplitz operator
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00221236_v275_n2_p329_Andruchow
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00221236_v275_n2_p329_Andruchow
record_format dspace
spelling todo:paper_00221236_v275_n2_p329_Andruchow2023-10-03T14:27:19Z Geometric significance of Toeplitz kernels Andruchow, E. Chiumiento, E. Larotonda, G. Geodesic Sato Grassmannian Schatten ideal Toeplitz operator 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. © 2018 Elsevier Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00221236_v275_n2_p329_Andruchow
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Geodesic
Sato Grassmannian
Schatten ideal
Toeplitz operator
spellingShingle Geodesic
Sato Grassmannian
Schatten ideal
Toeplitz operator
Andruchow, E.
Chiumiento, E.
Larotonda, G.
Geometric significance of Toeplitz kernels
topic_facet Geodesic
Sato Grassmannian
Schatten ideal
Toeplitz operator
description 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. © 2018 Elsevier Inc.
format JOUR
author Andruchow, E.
Chiumiento, E.
Larotonda, G.
author_facet Andruchow, E.
Chiumiento, E.
Larotonda, G.
author_sort Andruchow, E.
title Geometric significance of Toeplitz kernels
title_short Geometric significance of Toeplitz kernels
title_full Geometric significance of Toeplitz kernels
title_fullStr Geometric significance of Toeplitz kernels
title_full_unstemmed Geometric significance of Toeplitz kernels
title_sort geometric significance of toeplitz kernels
url http://hdl.handle.net/20.500.12110/paper_00221236_v275_n2_p329_Andruchow
work_keys_str_mv AT andruchowe geometricsignificanceoftoeplitzkernels
AT chiumientoe geometricsignificanceoftoeplitzkernels
AT larotondag geometricsignificanceoftoeplitzkernels
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