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Extending and factorizing bounded bilinear maps defined on order continuous Banach function spaces

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Extending and factorizing bounded bilinear maps defined on order continuous Banach function spaces

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Calabuig Rodriguez, JM.; Fernandez Unzueta, M.; Galaz Fontes, F.; Sánchez Pérez, EA. (2014). Extending and factorizing bounded bilinear maps defined on order continuous Banach function spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas (RACSAM). 108(2):353-367. doi:10.1007/s13398-012-0101-7

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/61397

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Title: Extending and factorizing bounded bilinear maps defined on order continuous Banach function spaces
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
Abstract:
We consider the problem of extending or factorizing a bounded bilinear map defined on a couple of order continuous Banach function spaces to its optimal domain, i.e. the biggest couple of Banach function spaces to which ...[+]
Subjects: Order continuous , Banach function spaces , Vector measures , Integrable functions , Optimal domain , Bilinear map
Copyrigths: Reserva de todos los derechos
Source:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas (RACSAM). (issn: 1578-7303 ) (eissn: 1579-1505 )
DOI: 10.1007/s13398-012-0101-7
Publisher:
Springer
Publisher version: http://dx.doi.org/10.1007/s13398-012-0101-7
Thanks:
J. M. Calabuig was supported by Ministerio de Economia y Competitividad (Spain) (project MTM2011-23164) and by "Jose Castillejo 2009" (MEC). E. A. Sanchez-Perez was supported by MEC and FEDER (project MTM2009-14483-C02-02). ...[+]
Type: Artículo

References

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Calabuig, J.M., Galaz-Fontes, F., Jiménez Fernández, E., Sánchez Pérez, E.A.: Strong factorization of operators on spaces of vector measure integrable functions and unconditional convergence of series. Math. Z. 257, 381–402 (2007)

Calabuig, J.M., Delgado, O., Sánchez Pérez, E.A.: Factorizing operators on Banach function spaces through spaces of multiplication operators. J. Math. Anal. Appl. 364, 88–103 (2010)

Curbera, G.P.: Operators into $$L^1$$ of a vector measure and applications to Banach lattices. Math. Ann. 293, 317–330 (1992)

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