Geometric significance of Toeplitz kernels

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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, Esteban, Chiumiento, Eduardo Hernán, Larotonda, Gabriel
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2018
Materias:
Matemática
Geodesic
Sato grassmannian
Schatten ideal
Toeplitz operator
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99798
https://ri.conicet.gov.ar/11336/87432
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99798
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Geodesic
Sato grassmannian
Schatten ideal
Toeplitz operator
spellingShingle Matemática
Geodesic
Sato grassmannian
Schatten ideal
Toeplitz operator
Andruchow, Esteban
Chiumiento, Eduardo Hernán
Larotonda, Gabriel
Geometric significance of Toeplitz kernels
topic_facet Matemática
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.
format Articulo
Preprint
author Andruchow, Esteban
Chiumiento, Eduardo Hernán
Larotonda, Gabriel
author_facet Andruchow, Esteban
Chiumiento, Eduardo Hernán
Larotonda, Gabriel
author_sort Andruchow, Esteban
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
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/99798
https://ri.conicet.gov.ar/11336/87432
work_keys_str_mv AT andruchowesteban geometricsignificanceoftoeplitzkernels
AT chiumientoeduardohernan geometricsignificanceoftoeplitzkernels
AT larotondagabriel geometricsignificanceoftoeplitzkernels
bdutipo_str Repositorios
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