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.
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Documento: |
Artículo
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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
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Palabras clave: | Geodesic; Sato Grassmannian; Schatten ideal; Toeplitz operator |
Año: | 2018
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Volumen: | 275
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Número: | 2
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Página de inicio: | 329
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Página de fin: | 355
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DOI: |
http://dx.doi.org/10.1016/j.jfa.2018.02.015 |
Título revista: | Journal of Functional Analysis
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Título revista abreviado: | J. Funct. Anal.
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ISSN: | 00221236
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CODEN: | JFUAA
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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