12 citations · 17 across the 5 of their papers we have counts for
6 papers
Uniform Distribution of Sequences and its interplay with Functional Analysis
S. K. Mercourakis, G. Vassiliadis
In this paper we apply ideas from the theory of Uniform Distribution of sequences to Functional Analysis and then drawing inspiration from the consequent results, we study concepts…
Antipodal sets in infinite dimensional Banach spaces
Eftychios Glakousakis, Sophocles Mercourakis
The following strengthening of the Elton-Odell theorem on the existence of a separated sequences in the unit sphere of an infinite dimensional Banach space is pro…
Equilateral Sets in Banach Spaces of th form C(K)
S. K. Mercourakis, G. Vassiliadis
We show that for "most" compact non metrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact non metriz…
On the existence of 1-separated sequences on the unit ball of a finite dimensional Banach space
Eytyhios Glakousakis, Sophocles Mercourakis
Given a finite dimensional Banach space X with dimX = n and an Auerbach basis of X, it is proved that: there exists a set D of n + 1 linear combinations (with coordinates 0, -1, +1…
On a certain class of $\K$ Banach spaces
K. K. Kampoukos, S. K. Mercourakis
Using a strengthening of the concept of $\K$ set, introduced in this paper, we study a certain subclass of the class of $\K$ Banach spaces; the so called strongly $\K$ Banach space…
Equilateral sets in infinite dimensional Banach spaces
S. K. Mercourakis, G. Vassiliadis
We show that every Banach space containing an isomorphic copy of has an infinite equilateral set and also that if has a bounded biorthogonal system of size then i…