Artículo
Carando, D.; Pinasco, D.; Rodríguez, J.T. "On the linear polarization constants of finite dimensional spaces" (2017) Mathematische Nachrichten. 290(16):2547-2559
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Abstract:
We study the linear polarization constants of finite dimensional Banach spaces. We obtain the correct asymptotic behaviour of these constants for the spaces ld p : they behave as p√ d if 1 ≤ p < 2. and as √ d if 2 ≤ p < ∞. For p = ∞ we get the asymptotic behaviour up to a logarithmic factor. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Registro:
| Documento: | Artículo |
| Título: | On the linear polarization constants of finite dimensional spaces |
| Autor: | Carando, D.; Pinasco, D.; Rodríguez, J.T. |
| Filiación: | Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, IMAS-CONICET, Buenos Aires, 1428, Argentina Departamento de Matemáticas y Estadística, Universidad Torcuato Di Tella, CONICET, Av. Figueroa Alcorta 7350, Buenos Aires, 1428, Argentina Departamento de Matemática and NUCOMPA, Facultad de Cs. Exactas, Universidad Nacional del Centro de la Provincia de Buenos Aires, CONICET, Tandil, 7000, Argentina |
| Palabras clave: | 46B20; 51M16; finite dimensional Banach spaces; Polarization constant; products of linear functionals |
| Año: | 2017 |
| Volumen: | 290 |
| Número: | 16 |
| Página de inicio: | 2547 |
| Página de fin: | 2559 |
| DOI: | http://dx.doi.org/10.1002/mana.201600448 |
| Título revista: | Mathematische Nachrichten |
| Título revista abreviado: | Math. Nachr. |
| ISSN: | 0025584X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v290_n16_p2547_Carando |
Referencias:
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- Pappas, A., Révész, S.G., Linear polarization constants of Hilbert spaces (2004) J. Math. Anal. Appl., 300, pp. 129-146
- Pisier, G., (1989) The Volume of Convex Bodies and Banach Space Geometry, , Cambridge Univ. Press, Cambridge
- Révész, S.G., Sarantopoulos, Y., Satellite Conference on Infinite Dimensional Function Theory (2004) J. Korean Math. Soc., 41, pp. 157-174. , Plank problems, polarization and Chebyshev constants
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Citas:
---------- APA ----------
Carando, D., Pinasco, D. & Rodríguez, J.T. (2017) . On the linear polarization constants of finite dimensional spaces. Mathematische Nachrichten, 290(16), 2547-2559.http://dx.doi.org/10.1002/mana.201600448
---------- CHICAGO ----------
Carando, D., Pinasco, D., Rodríguez, J.T. "On the linear polarization constants of finite dimensional spaces" . Mathematische Nachrichten 290, no. 16 (2017) : 2547-2559.http://dx.doi.org/10.1002/mana.201600448
---------- MLA ----------
Carando, D., Pinasco, D., Rodríguez, J.T. "On the linear polarization constants of finite dimensional spaces" . Mathematische Nachrichten, vol. 290, no. 16, 2017, pp. 2547-2559.http://dx.doi.org/10.1002/mana.201600448
---------- VANCOUVER ----------
Carando, D., Pinasco, D., Rodríguez, J.T. On the linear polarization constants of finite dimensional spaces. Math. Nachr. 2017;290(16):2547-2559.http://dx.doi.org/10.1002/mana.201600448
