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A perspective approach for characterization of Lieb concavity theorem

Nikoufar I.

Demonstratio Mathematica

2016

Vol. 49, nr 4

463--469

Lieb’s extension theorem holds for generalized p + q ∈ [0, 1] and Ando convexity theorem holds for q – r > 1. In this paper, we give a complete characterization for concavity or convexity of Lieb well known theorem in the case where p + q ≥ 1 or p +q ≤ 0. We also characterize some auxiliary results including Ando theorem for q – r ≤ 1.