10 citations · 34 across the 37 of their papers we have counts for
5 papers · 1 filter
Lipschitz subtype
R. M. Causey
We give necessary and sufficient conditions for a Lipschitz map, or more generally a uniformly Lipschitz family of maps, to factor the Hamming cubes. This is an extension to Lipsch…
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…
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…
Factorization of Asplund operators
R. M. Causey, K. Navoyan
We give necessary and sufficient conditions for an operator on a Banach space having a shrinking FDD to factor through a Banach space such that the Szlenk index of $…
-completely continuous operators and -Schur Banach spaces
R. M. Causey, K. Navoyan
For each ordinal , we introduce the notion of a -completely continuous operator and prove that for each ordinal , the class $\mathfrak{V}_ξ…