New York Journal of Mathematics
Volume 22 (2016) 605-613


J. M. F. Castillo and Marilda A. Simões

On Banach spaces of universal disposition

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Published: July 13, 2016
Keywords: Banach spaces of universal disposition, separable injective, separable complementation property
Subject: 46B03, 46M40

We present: i) an example of a Banach space of universal disposition that is not separably injective; ii) an example of a Banach space of universal disposition with respect to finite dimensional polyhedral spaces with the Separable Complementation Property; iii) a new type of space of universal disposition nonisomorphic to the previous existing ones.


The research of the first author was partially supported by project MTM2013-45643-C02-1-P

Author information

J. M. F. Castillo:
Departamento de Matematicas, Universidad de Extremadura, 06071 Badajoz, Spain

Marilda A. Simões:
Dipartimento di Matematica "G. Castelnuovo", Universitá di Roma "La Sapienza", P. le A. Moro 2, 00185 Roma, Italia