An extension property of the Bourgain–Pisier construction

Jesús Suárez de la Fuente

doi:10.1007/s11512-012-0166-8

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Home > Journals > Ark. Mat. > Volume 51 > Issue 2 > Article

October 2013 An extension property of the Bourgain–Pisier construction

Jesús Suárez de la Fuente

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Jesús Suárez de la Fuente¹
¹Department Mathematics, Escuela Politécnica

Ark. Mat. 51(2): 363-369 (October 2013). DOI: 10.1007/s11512-012-0166-8

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Abstract

It is proved that the natural embedding of a separable Banach space X into the corresponding Bourgain–Pisier space extends $\mathcal{L}_{\infty}$-valued operators.

Funding Statement

The author was partially supported by MTM2010-20190-C02-01 and Junta de Extremadura CR10113 “IV Plan Regional I+D+i”, Ayudas a Grupos de Investigación.

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Jesús Suárez de la Fuente. "An extension property of the Bourgain–Pisier construction." Ark. Mat. 51 (2) 363 - 369, October 2013. https://doi.org/10.1007/s11512-012-0166-8