Artículo
Andruchow, E.; Corach, G.; Stojanoff, D. "Geometrical significance of the löwner-heinz inequality" (2000) Proceedings of the American Mathematical Society. 128(4):1031-1037
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Abstract:
It is proven that the Lowner-Heinz inequality ||At Bt|| ≤ ||AB||t, valid for all positive invertible operators A, B on the Hubert space H and t ε [0, 1], has equivalent forms related to the Finsler structure of the space of positive invertible elements of L(H) or, more generally, of a unital C*-algebra. In particular, the Löwner-Heinz inequality is equivalent to some type of "nonpositive curvature" property of that space. © 2000 American Mathematical Society.
Registro:
| Documento: | Artículo |
| Título: | Geometrical significance of the löwner-heinz inequality |
| Autor: | Andruchow, E.; Corach, G.; Stojanoff, D. |
| Filiación: | Instituto De Ciencias, Universidad Nacional De General Sarmiento, Roca 850, 1663-San Miguel, Argentina Departamento De MatemáTica, Facultad De Ciencias Exactas, Ciudad Universitaria, 1428-Buenos Aires, Argentina Instituto Argentino De MatemäTica, Saavedra 15, 1083-Buenos Aires, Argentina |
| Año: | 2000 |
| Volumen: | 128 |
| Número: | 4 |
| Página de inicio: | 1031 |
| Página de fin: | 1037 |
| Título revista: | Proceedings of the American Mathematical Society |
| Título revista abreviado: | Proc. Am. Math. Soc. |
| ISSN: | 00029939 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow |
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Citas:
---------- APA ----------
Andruchow, E., Corach, G. & Stojanoff, D. (2000) . Geometrical significance of the löwner-heinz inequality. Proceedings of the American Mathematical Society, 128(4), 1031-1037.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow [ ]
---------- CHICAGO ----------
Andruchow, E., Corach, G., Stojanoff, D. "Geometrical significance of the löwner-heinz inequality" . Proceedings of the American Mathematical Society 128, no. 4 (2000) : 1031-1037.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow [ ]
---------- MLA ----------
Andruchow, E., Corach, G., Stojanoff, D. "Geometrical significance of the löwner-heinz inequality" . Proceedings of the American Mathematical Society, vol. 128, no. 4, 2000, pp. 1031-1037.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow [ ]
---------- VANCOUVER ----------
Andruchow, E., Corach, G., Stojanoff, D. Geometrical significance of the löwner-heinz inequality. Proc. Am. Math. Soc. 2000;128(4):1031-1037.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v128_n4_p1031_Andruchow [ ]
