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math.FA2013
On Borel structures in the Banach space C(βω)
Witold Marciszewski, Grzegorz Plebanek
M. Talagrand showed that, for the Cech-Stone compactification βω of the space of natural numbers, the norm and the weak topology generate different Borel structures in the Banach s…
math.FA2013
On positive embeddings of C(K) spaces
Grzegorz Plebanek
We investigate isomorphic embeddings between Banach spaces of continuous functions. We show that if such an embedding is a positive operator then is an im…
math.FA2013
On isomorphisms of Banach spaces of continuous functions
Grzegorz Plebanek
We prove that if and are compact spaces and and are isomorphic as Banach spaces then has a -base consisting of open sets such that is a c…