512 citations
- The Ohio State UniversityUS9 papers
- University of CincinnatiUS9 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- University of MiamiUS8 papers
- University of WashingtonUS8 papers
- University of MissouriUS6 papers
- Hebrew University of JerusalemIL5 papers
- Northwestern UniversityUS5 papers
- Rutgers, The State University of New JerseyUS5 papers
- Sorbonne UniversitéFR5 papers
- Central South UniversityCN4 papers
- Imperial College LondonGB4 papers
26 papers · 1 filter
Uniform subsequential estimates on weakly null sequences
M. Brixey, R. M. Causey, P. Frankart
We provide a generalization of two results of Knaust and Odell from \cite{KO2} and \cite{KO}. We prove that if is a Banach space and is a right dominant Sc…
The complexity of some ordinal determined classes of operators
R. M. Causey
We compute the complexity of the classes of operators and in the coding of operators between separable B…
Bourgain discretization using Lebesgue-Bochner spaces
Mikhail I. Ostrovskii, Beata Randrianantoanina
We study the Lebesgue-Bochner discretization property of Banach spaces , which ensures that the Bourgain's discretization modulus for has a good lower estimate. We prove tha…
The -Dunford Pettis property
R. M. Causey
Using the hierarchy of weakly null sequences introduced by Argyros, Merkourakis, and Tsarpalias, we introduce two new families of operator classes. The first family simultaneously…
A characterization of superreflexivity through embeddings of lamplighter groups
Mikhail I. Ostrovskii, Beata Randrianantoanina
We prove that finite lamplighter groups with a standard set of generators embed with uniformly bounded distortions into any non-superrefl…
Three and a half asymptotic properties
R. M. Causey
We define and discuss transfinite asymptotic notions of smoothability, type, and equal norm type. We prove distinctness of these notions for a proper class of ordinals and that eac…