C. Brech

activity

20112015

collaborators

3 papers

math.FA2015

An isometrically universal Banach space induced by a non-universal Boolean algebra

Christina Brech, Piotr Koszmider

Given a Boolean algebra $A$ , we construct another Boolean algebra $B$ with no uncountable well-ordered chains such that the Banach space of real valued continuous functions $C(K_A)…

math.FA2012

$ℓ_{\infty}$ -sums and the Banach space $ℓ_{\infty} / c_{0}$

Christina Brech, Piotr Koszmider

This paper is concerned with the isomorphic structure of the Banach space $ℓ_{\infty} / c_{0}$ and how it depends on combinatorial tools whose existence is consistent but not provable…

math.FA2011

On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts

Christina Brech, Piotr Koszmider

For k being the first uncountable cardinal w_1 or k being the cardinality of the continuum c, we prove that it is consistent that there is no Banach space of density k in which it…

An isometrically universal Banach space induced by a non-universal Boolean algebra

ℓ∞​-sums and the Banach space ℓ∞​/c0​

On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts

$ℓ_{\infty}$ -sums and the Banach space $ℓ_{\infty} / c_{0}$