22 citations · 29 across the 7 of their papers we have counts for
12 papers
Topologies related to (I)-envelopes
Ondřej F. K. Kalenda, Matias Raja
We investigate the question whether the (I)-envelope of any subset of a dual to a Banach space may be described as the closed convex hull in a suitable topology. If contain…
Ergodicity and super weak compactness
Guillaume Grelier, Matías Raja
We prove that a closed convex subset of a Banach space is (super-)weakly compact if and only if it is (super)-ergodic. As a consequence we deduce that super weakly compact sets are…
Applications of the quantification of super weak compactness
Guillaume Grelier, Matías Raja
We introduce a measure of super weak noncompactness defined for bounded linear operators and subsets in Banach spaces that allows to state and prove a characterization of the B…
On uniformly convex functions
Guillaume Grelier, Matías Raja
Non-convex functions that yet satisfy a condition of uniform convexity for non-close points can arise in discrete constructions. We prove that this sort of discrete uniform convexi…
Nonlinear aspects of super weakly compact sets
Gilles Lancien, Matias Raja
The notion of super weak compactness for subsets of Banach spaces is a strengthening of the weak compactness that can be described as a local version of super-reflexivity. A recent…
Uniformly convex renormings and generalized cotypes
Luis C. García-Lirola, Matías Raja
We are concerned about improvements of the modulus of convexity by renormings of a super-reflexive Banach space. Typically optimal results are beyond Pisier's power functions bound…