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arxiv: 1304.2432 · v2 · pith:NZWUTZXK · submitted 2013-04-08 · math.OA · math.FA

A note on two-sided ideals in locally C*-algebras

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classification math.OA math.FA
keywords idealslocallynotepositivetwo-sidedalgebraalgebrasclosed
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In the present note we show that if A is a locally C*-algebra, and I and J are closed two-sided ideals in A, then the positive part of (I+J) is equal to the sum of positive parts of I and J.

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