Vaja Tarieladze

Group valued null sequences and metrizable non-Mackey groups

Abstract. For a topological abelian group X we topologize the group c 0 (X)

A property of Dunford-Pettis type in topological groups

c_0(X)

Completeness properties of locally quasi-convex groups

of all X-valued null sequences in a way such that when X=ℝ

EBERLEIN–ŠMULYAN THEOREM FOR ABELIAN TOPOLOGICAL GROUPS

{X={\mathbb {R}}}

Conway's Question: The Chase for Completeness

the topology of c 0 (ℝ)

COMPATIBLE LOCALLY CONVEX TOPOLOGIES ON NORMED SPACES: CARDINALITY ASPECTS

c_0({\mathbb {R}})

On rearrangement theorems in Banach spaces

coincides with the usual Banach space topology of the classical Banach space c0. If X is a non-trivial compact connected metrizable group, we prove that c 0 (X)

An operator version of Abel's continuity theorem

c_0(X)

CLT FOR OPERATOR ABEL SUMS OF RANDOM ELEMENTS

is a non-compact Polish locally quasi-convex group with countable dual group c 0 (X) ∧

On Mackey topology for groups

c_0(X)^{\wedge }