On the structure of the maximum entropy extension

Abstract

In continuation of the papers [10] and [11] a permanence principle for the so called central extension will be verified. Moreover, it will be shown that the maximum entropy extension can be characterized by a slight modification of the notion band extension, too.

Keywords:

• Non-negative Hermitian block matrix extension
• matrix ball description
• central extension
• permanence principle
• band extension

AMS 1980 Subject Classification:

• Primary:15 A 23
• Secondary:60 G 10
• Secondary:60 G 25