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Pták homomorphism theorem revisited

J. R. FerrerM. López PellicerL. M. Sánchez Ruiz — 2000

Czechoslovak Mathematical Journal

Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topological vector space is semi-open. In this paper we study this extension and, as a consequence of the results obtained, provide an improvement of Pták’s homomorphism theorem.

Embedding c 0 in bvca ( Σ , X )

Juan Carlos FerrandoL. M. Sánchez Ruiz — 2007

Czechoslovak Mathematical Journal

If ( Ω , Σ ) is a measurable space and X a Banach space, we provide sufficient conditions on Σ and X in order to guarantee that b v c a ( Σ , X ) , the Banach space of all X -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of c 0 if and only if X does.

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