19 citations · 38 across the 7 of their papers we have counts for
12 papers
Isometries of James-Schreier and Lorentz spaces
Christina Brech, Victor dos Santos Ronchim
We study the group of surjective linear isometries on certain real Banach sequence spaces using the preservation of extreme points in the closed unit ball. Our main result provides…
Banach-Stone-like results for combinatorial Banach spaces
Christina Brech, Claribet Piña
We show that under a certain topological assumption on two compact hereditary families $\F$ and $\G$ on some infinite cardinal , the corresponding combinatorial spaces $X_\F$ an…
Isometries of combinatorial Banach spaces
C. Brech, V. Ferenczi, A. Tcaciuc
We prove that every isometry between two combinatorial spaces is determined by a permutation of the canonical unit basis combined with a change of signs. As a consequence, we show…
Homogeneous families on trees and subsymmetric basic sequences
Christina Brech, Jordi Lopez-Abad, Stevo Todorcevic
We study density requirements on a given Banach space that guarantee the existence of subsymmetric basic sequences by extending Tsirelson's well-known space to larger index sets. W…
An isometrically universal Banach space induced by a non-universal Boolean algebra
Christina Brech, Piotr Koszmider
Given a Boolean algebra , we construct another Boolean algebra with no uncountable well-ordered chains such that the Banach space of real valued continuous functions $C(K_A)…
-sums and the Banach space
Christina Brech, Piotr Koszmider
This paper is concerned with the isomorphic structure of the Banach space and how it depends on combinatorial tools whose existence is consistent but not provable…