[Banach] Abstract of a paper by Robert Bogucki

This is an announcement for the paper "On explicit constructions of auerbach bases in separable Banach spaces" by Robert Bogucki.

Abstract: This paper considers explicit constructions of Auerbach bases in separable Banach spaces. Answering the question of A. Pe{\l}czy{'n}ski, we prove by construction the existence of Auerbach basis in arbitrary subspace of $c_0$ of finite codimension and in the space $C(K)$ for $K$ compact countable metric space.

Archive classification: math.FA

Mathematics Subject Classification: 46B15, 46B20

Submitted from: r.bogucki@students.mimuw.edu.pl

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1308.4429

or

http://arXiv.org/abs/1308.4429