Pandelis Dodos

Banach spaces and descriptive set theory : selected topics

Basic Concepts.- The Standard Borel Space of All Separable Banach Spaces.- The ?2 Baire Sum.- Amalgamated Spaces.- Zippins Embedding Theorem.- The Bourgain-Pisier Construction.- Strongly Bounded Classes of Banach Spaces.

On classes of Banach spaces admitting “small” universal spaces

We characterize those classes

A density version of the Carlson–Simpson theorem

\ccc

Dichotomies of the set of test measures of a Haar-null set

of separable Banach spaces admitting a separable universal space

Dense Subsets of Products of Finite Trees

Y

The Steinhaus property and Haar-null sets

(that is, a space

Measurable events indexed by products of trees

Y

On strictly singular operators between separable Banach spaces

containing, up to isomorphism, all members of

Ramsey theory for product spaces

\ccc

Banach spaces and Ramsey Theory: some open problems

) which is not universal for all separable Banach spaces. The characterization is a byproduct of the fact, proved in the paper, that the class