Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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SOME REMARKS ON THE AR-PROBLEM

LE HOANG TRI, NGUYEN HOANG THANH

pp. 389-400

Abstract

The aim of this paper is to introduce a possible scheme for constructing counterexamples (if there are any) of the AR-problem for compact sets. In fact, this is an extension of Kalton-Peck-Roberts’ result. We also have similar results on the AR-problem for the case of non-compact sets.