We study the regret of an online learner playing a multi-round game in a Banach space B against an adversary that plays a convex function at each round. We characterize the minima...
We present some sufficient conditions ensuring the upper semicontinuity and the continuity of the Bregman projection operator Π g C and the relative projection operator P g C in...
We prove that there exists a weakly closed and bounded subset E of c0 which is not remotal from 0, and such that co (E) is remotal from 0. This answers a question of M. Mart´ın ...
Using variational analysis, we study the linear regularity for a collection of finitely many closed sets. In particular, we extend duality characterizations of the linear regularit...
We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.
George Androulakis, Stephen J. Dilworth, Nigel J. ...