NON-ARCHIMEDEAN GNS CONSTRUCTION AND NON-ARCHIMEDEAN KREIN-MILMAN THEOREM

Mihara, T

Mihara, T (reprint author), Tokyo Inst Technol, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528550, Japan.

OPERATORS AND MATRICES, 2017; 11 (4): 969

Abstract

We establish non-Archimedean analogues of the GNS construction and Krein-Milman theorem. For this purpose, we introduce notions of a state on a non-Ar......

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