Artículo

Andruchow, E.; Chiumiento, E.; Larotonda, G. "Geometric significance of Toeplitz kernels" (2018) Journal of Functional Analysis. 275(2):329-355
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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. © 2018 Elsevier Inc.

Registro:

Documento: Artículo
Título:Geometric significance of Toeplitz kernels
Autor:Andruchow, E.; Chiumiento, E.; Larotonda, G.
Filiación:Instituto de Ciencias, Universidad Nacional de Gral. Sarmiento, J.M. Gutierrez 1150, Los Polvorines, 1613, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas, Universidad de La Plata, Calles 50 y 115, La Plata, 1900, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria (1428) CABA, Argentina
Instituto Argentino de Matemática, ‘Alberto P. Calderón’, CONICET, Saavedra 15 3er. piso, Buenos Aires, 1083, Argentina
Palabras clave:Geodesic; Sato Grassmannian; Schatten ideal; Toeplitz operator
Año:2018
Volumen:275
Número:2
Página de inicio:329
Página de fin:355
DOI: http://dx.doi.org/10.1016/j.jfa.2018.02.015
Título revista:Journal of Functional Analysis
Título revista abreviado:J. Funct. Anal.
ISSN:00221236
CODEN:JFUAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v275_n2_p329_Andruchow

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Citas:

---------- APA ----------
Andruchow, E., Chiumiento, E. & Larotonda, G. (2018) . Geometric significance of Toeplitz kernels. Journal of Functional Analysis, 275(2), 329-355.
http://dx.doi.org/10.1016/j.jfa.2018.02.015
---------- CHICAGO ----------
Andruchow, E., Chiumiento, E., Larotonda, G. "Geometric significance of Toeplitz kernels" . Journal of Functional Analysis 275, no. 2 (2018) : 329-355.
http://dx.doi.org/10.1016/j.jfa.2018.02.015
---------- MLA ----------
Andruchow, E., Chiumiento, E., Larotonda, G. "Geometric significance of Toeplitz kernels" . Journal of Functional Analysis, vol. 275, no. 2, 2018, pp. 329-355.
http://dx.doi.org/10.1016/j.jfa.2018.02.015
---------- VANCOUVER ----------
Andruchow, E., Chiumiento, E., Larotonda, G. Geometric significance of Toeplitz kernels. J. Funct. Anal. 2018;275(2):329-355.
http://dx.doi.org/10.1016/j.jfa.2018.02.015