Artículo
Carando, D.; Dimant, V.; Muro, S.; Pinasco, D. "An integral formula for multiple summing norms of operators" (2015) Linear Algebra and Its Applications. 478:274-293
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Abstract:
We prove that the multiple summing norm of multilinear operators defined on some n-dimensional real or complex vector spaces with the p-norm may be written as an integral with respect to stable measures. As an application we show inclusion and coincidence results for multiple summing mappings. We also present some contraction properties and compute or estimate the limit orders of this class of operators. © 2015 Published by Elsevier Inc.
Registro:
| Documento: | Artículo |
| Título: | An integral formula for multiple summing norms of operators |
| Autor: | Carando, D.; Dimant, V.; Muro, S.; Pinasco, D. |
| Filiación: | Departamento de Matemática - Pab i, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos-Aires, 1428, Argentina IMAS-CONICET, Argentina Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, Victoria-Buenos-Aires, B1644BID, Argentina CONICET, Argentina Departamento de Matemáticas y Estadística, Universidad Torcuato di Tella, Av. F. Alcorta 7350, Ciudad Autónoma de Buenos-Aires, 1428, Argentina |
| Palabras clave: | Absolutely summing operators; Multilinear operators; Linear algebra; Complex vector space; Integral formulas; Limit orders; Multilinear operators; Stable measures; Vector spaces |
| Año: | 2015 |
| Volumen: | 478 |
| Página de inicio: | 274 |
| Página de fin: | 293 |
| DOI: | http://dx.doi.org/10.1016/j.laa.2015.03.031 |
| Título revista: | Linear Algebra and Its Applications |
| Título revista abreviado: | Linear Algebra Its Appl |
| ISSN: | 00243795 |
| CODEN: | LAAPA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v478_n_p274_Carando |
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Citas:
---------- APA ----------
Carando, D., Dimant, V., Muro, S. & Pinasco, D. (2015) . An integral formula for multiple summing norms of operators. Linear Algebra and Its Applications, 478, 274-293.http://dx.doi.org/10.1016/j.laa.2015.03.031
---------- CHICAGO ----------
Carando, D., Dimant, V., Muro, S., Pinasco, D. "An integral formula for multiple summing norms of operators" . Linear Algebra and Its Applications 478 (2015) : 274-293.http://dx.doi.org/10.1016/j.laa.2015.03.031
---------- MLA ----------
Carando, D., Dimant, V., Muro, S., Pinasco, D. "An integral formula for multiple summing norms of operators" . Linear Algebra and Its Applications, vol. 478, 2015, pp. 274-293.http://dx.doi.org/10.1016/j.laa.2015.03.031
---------- VANCOUVER ----------
Carando, D., Dimant, V., Muro, S., Pinasco, D. An integral formula for multiple summing norms of operators. Linear Algebra Its Appl. 2015;478:274-293.http://dx.doi.org/10.1016/j.laa.2015.03.031
