- -

Tensor Characterizations of Summing Polynomials

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Tensor Characterizations of Summing Polynomials

Mostrar el registro completo del ítem

Achour, D.; Alouani, A.; Rueda, P.; Sánchez Pérez, EA. (2018). Tensor Characterizations of Summing Polynomials. Mediterranean Journal of Mathematics. 15(3):127-139. https://doi.org/10.1007/s00009-018-1175-z

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/125576

Ficheros en el ítem

Thumbnail
Nombre: Achour;Alouani;Rueda ...
Tamaño: 354.1Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir/Preview
[Cerrado]
Nombre: Achour2018_Articl ...
Tamaño: 545.1Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor

Metadatos del ítem

Título: Tensor Characterizations of Summing Polynomials
Autor: Achour, D. Alouani, A. Rueda, P. Sánchez Pérez, Enrique Alfonso
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Operators T that belong to some summing operator ideal, can be characterized by means of the continuity of an associated tensor operator T that is de¿ned between tensor products of sequences spaces. In this paper we ...[+]
Palabras clave: Homogeneous polynomial , Summing operator , P-nuclear operator , Tensor norm
Derechos de uso: Reserva de todos los derechos
Fuente:
Mediterranean Journal of Mathematics. (issn: 1660-5446 )
DOI: 10.1007/s00009-018-1175-z
Editorial:
Springer-Verlag
Versión del editor: http://doi.org/10.1007/s00009-018-1175-z
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/
Agradecimientos:
The third and fourth authors acknowledge with thanks the Ministerio de Economia, Industria y Competitividad and FEDER Grant MTM2016-77054-C2-1-P. The authors thank the referee for his valuable suggestions that improved the ...[+]
Tipo: Artículo

References

Achour, D.: Multilinear extensions of absolutely (p;q;r)-summing operators. Rend. Circ. Mat. Palermo (2) 60(3), 337–350 (2011)

Achour, D., Alouani, A.: On multilinear generalizations of the concept of nuclear operators. Colloq. Math. 120(1), 85–102 (2010)

Achour, D., Saadi, K.: A polynomial characterization of Hilbert spaces. Collectanea. Math. 61(3), 291–301 (2010) [+]
Achour, D.: Multilinear extensions of absolutely (p;q;r)-summing operators. Rend. Circ. Mat. Palermo (2) 60(3), 337–350 (2011)

Achour, D., Alouani, A.: On multilinear generalizations of the concept of nuclear operators. Colloq. Math. 120(1), 85–102 (2010)

Achour, D., Saadi, K.: A polynomial characterization of Hilbert spaces. Collectanea. Math. 61(3), 291–301 (2010)

Aron, R.M., Rueda, P.: p-Compact homogeneous polynomials from an ideal point of view. Function spaces in modern analysis, Contemp. Math., vol. 547. American Mathematical Society, Providence, RI, pp. 61–71 (2011)

Botelho, G.: Ideals of polynomials generated by weakly compact operators. Note di Mat. 25, 69–102 (2005)

Botelho, G.: Type, cotype and generalized Rademacher functions. Rocky Mt. J. Math. 28, 1227–1250 (1998)

Botelho, G., Campos, J.: On the transformation of vector-valued sequences by linear and multilinear operators. Monatsh. Math. 183(2017), 415–435 (2015)

Botelho, G., Campos, J., Santos, J.: Operator ideals related to absolutely summing and Cohen strongly summing operators. Pac. J. Math. 287, 1–17 (2017)

Botelho, G., Pellegrino, D., Rueda, P.: Preduals of spaces of homogeneous polynomials on $$L_p$$ L p -spaces. Linear Multilinear Algebra 60(5), 565–571 (2012)

Botelho, G., Pellegrino, D., Rueda, P.: Dominated polynomials on infinite dimensional spaces. Proc. Am. Math. Soc. 138(1), 209–216 (2010)

Botelho, G., Pellegrino, D., Rueda, P.: Pietsch’s factorization theorem for dominated polynomials. J. Funct. Anal. 243(1), 257–269 (2007)

Çalişkan, E., Pellegrino, D.M.: On the multilinear generalizations of the concept of absolutely summing operators. Rocky Mt. J. Math. 37(4), 1137–1154 (2007)

Çalişkan, E., Rueda, P.: On distinguished polynomials and their projections. Ann. Acad. Sci. Fenn. Math. 37, 595–603 (2012)

Cilia, R., Gutiérrez, J.: Dominated, diagonal polynomials on $$\ell _p$$ ℓ p spaces. Arch. Math. 84, 421–431 (2005)

Cohen, J.S.: Absolutely p-summing, p-nuclear operators and their conjugates. Math. Ann. 201, 177–200 (1973)

Defant, A., Floret, K.: Tensor norms and operator ideals. North-Holland Mathematics Studies, vol. 176. North-Holland Publishing Co., Amsterdam (1993)

Diestel, J., Jarchow, H., Tonge, A.:, Absolutely summing operators. Cambridge Studies in Advanced Mathematics, vol. 43. Cambridge University Press, Cambridge (1995)

Dimant, V.: Strongly p-summing multilinear operators. J. Math. Anal. Appl. 278, 182–193 (2003)

Matos, M., Floret, K.: Application of a Khintchine inequality to holomorphic mappings. Math. Nachr. 176, 65–72 (1995)

Mujica, J.: Complex Analysis in Banach spaces. Dover Publications Inc., New York (2010)

Pérez-García, D.: Comparing different classes of absolutely summing multilinear operators. Arch. Math. 85, 258–267 (2005)

Pellegrino, D., Rueda, P., Sánchez-Pérez, E.A.: Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials. Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Math. RACSAM 110(1), 285–302 (2016)

Pietsch, A.: Operator ideals. North-Holland Mathematical Library, vol. 20. North-Holland Publishing Co, Amsterdam-New York (1980)

Rueda, P., Sánchez-Pérez, E.A.: Factorization of p-dominated polynomials through $$L_p$$ L p -spaces. Mich. Math. J. 63(2), 345–353 (2014)

Rueda, P., Sánchez-Pérez, E.A., Tallab, A.: Traced tensor norms and multiple summing multilinear operators. Linear Multilinear Algebra 65(4), 768–786 (2017)

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem