A remark on -spaces.
Alpay, Safak, Ercan, Zafer (2006)
Sibirskij Matematicheskij Zhurnal
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Alpay, Safak, Ercan, Zafer (2006)
Sibirskij Matematicheskij Zhurnal
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M. Isabel Garrido, Jesús A. Jaramillo (2002)
Extracta Mathematicae
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Daniel Li (1995)
Colloquium Mathematicae
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Sánchez Pérez, Enrique A., Werner, Dirk (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Heath, Matthew J. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Anatolij Plichko, M. Wójtowicz (2003)
Extracta Mathematicae
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Gilles Lancien (2006)
RACSAM
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We describe how the Szlenk index has been used in various areas of the geometry of Banach spaces. We cover the following domains of application of this notion: non existence of universal spaces, linear classification of C(K) spaces, descriptive set theory, renorming problems and non linear classification of Banach spaces.
Gómez Palacio, Patricia, López Molina, Juan Antonio, Rivera, José (2009)
Boletín de la Asociación Matemática Venezolana
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V. K. Maslyuchenko, A. M. Plichko (2005)
Extracta Mathematicae
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Ondrej F. K. Kalenda (2006)
RACSAM
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We show that a complex Banach space is weakly Lindelöf determined if and only if the dual unit ball of any equivalent norm is weak* Valdivia compactum. We deduce that a complex Banach space X is weakly Lindelöf determined if and only if any nonseparable Banach space isomorphic to a complemented subspace of X admits a projectional resolution of the identity. These results complete the previous ones on real spaces.
Matsak, Ivan, Plichko, Anatolij (2002)
Georgian Mathematical Journal
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