Complex Banach spaces with Valdivia dual unit ball.

Ondrej F. K. Kalenda

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Valdivia compacta and equivalent norms

Ondřej Kalenda (2000)

Studia Mathematica

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We prove that the dual unit ball of a Banach space X is a Corson compactum provided that the dual unit ball with respect to every equivalent norm on X is a Valdivia compactum. As a corollary we show that the dual unit ball of a Banach space X of density $ℵ_{1}$ is Corson if (and only if) X has a projectional resolution of the identity with respect to every equivalent norm. These results answer questions asked by M. Fabian, G. Godefroy and V. Zizler and yield a converse to Amir-Lindenstrauss’...

Valdivia compact spaces in topology and Banach space theory.

Ondrej F. K. Kalenda (2000)

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Maria D. Acosta, Vicente Montesinos (2006)

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David Yost (1993)

Acta Universitatis Carolinae. Mathematica et Physica

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