IDEAL CONVERGENCE VERSUS MATRIX SUMMABILITY 1. Introduction The problem of
examining the relationship between ideal convergence Page 1 IDEAL CONVERGENCE …

ON THE NOTIONS OF UPPER AND LOWER DENSITY Page 1 Proceedings of the Edinburgh
Mathematical Society (2020) 63, 139–167 doi:10.1017/S0013091519000208 ON THE …

This paper introduces discrete large games where the set of players is a countable dense
'grid'with a finitely additive distribution. In these games any function from player names to …

Abstract Following Baumgartner (1995)[4], for an ideal I on ω, we say that an ultrafilter U on
ω is an I-ultrafilter if for every function f: ω→ ω there is A∈ U with f [A]∈ I. If there is an I …

We will deal with finitely additive measures on integers extending the asymptotic density. We
will study their relation to the Lévy group G of permutations of N. Using a new …

Ultrafilters and srnall sets Page 1 CHARLES UNIVERSITY IN PRAGUE FACULTY OF
MATHEMATICS AND PHYSICS DOCTORAL THESIS MGR. JANA FLAŠKOVÁ Ultrafilters and …

We consider a certain class of normalized positive linear functionals on l∞ which extend the
Cesàro mean. We study the set of its extreme points and it turns out to be the set of linear …

We study finitely additive measures on the set N which extend the asymptotic density
(density measures). We show that there is a one-to-one correspondence between density …

We answer in negative the problem if the existence of a P-measure implies the existence of
a P-point. Namely, we show that if we add random reals to a certain unique P-point model …

We say that a finitely additive probability measure $\mu $ on $\omega $ is\emph {a P-
measure} if it vanishes on points and for each decreasing sequence $(E_n) $ of infinite …