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On the c_0-extension property
Claudia Correa
In this work we investigate the c_0-extension property. This property generalizes Sobczyk's theorem in the context of nonseparable Banach spaces. We prove that a sufficient conditi…
Nontrivial twisted sums for finite height spaces under Martin's Axiom
Claudia Correa
We show that if we assume Martin's Axiom, then there exists a nontrivial twisted sum of c_0 and C(K), for every compact space K with finite height and weight at least continuum. Th…
Additional set-theoretic assumptions and twisted sums of Banach spaces
Claudia Correa
In this paper, we discuss the role played by additional set-theoretic assumptions in the investigation of the existence of nontrivial twisted sums of and spaces of continuous…
A Valdivia compact space with no points and few nontrivial convergent sequences
Claudia Correa, Daniel V. Tausk
We give an example of a Valdivia compact space with no points and no nontrivial convergent sequences in the complement of a dense -subset. The example is related to a prob…
On extensions of -valued operators
Claudia Correa, Daniel V. Tausk
We study pairs of Banach spaces , with , for which the thesis of Sobczyk's theorem holds, namely, such that every bounded -valued operator defined in ex…
A note on the continuous self-maps of the ladder system space
Claudia Correa, Daniel V. Tausk
We give a partial characterization of the continuous self-maps of the ladder system space K_S. Our results show that K_S is highly nonrigid. We also discuss reasonable notions of "…