چهل و سومین کنفرانس ریاضی ایران , 2012-08-27

Title : ( New results on operator monotone functions )

Authors: Mohammad Sal Moslehian , Hamed Najafi ,

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Abstract

Let n,m ∈ R. We show that the family of all operator monotone functions f on an interval (a, b) such that f(t0) = n and f(t0) = m > 0 for t0 ∈ (a, b) is a normal family, and investigate some properties of odd operator monotone functions. We also characterize the odd operator monotone functions and even operator convex functions on a symmetric interval (−a, a). As a consequence, we show that if f is an odd operator monotone function on (−a, a), then f is concave on (−a; 0) and convex on (0; a).

Keywords

, Operator monotone function, operator convex function, normal family, integral representation
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@inproceedings{paperid:1033092,
author = {Sal Moslehian, Mohammad and Najafi, Hamed},
title = {New results on operator monotone functions},
booktitle = {چهل و سومین کنفرانس ریاضی ایران},
year = {2012},
location = {تبریز, IRAN},
keywords = {Operator monotone function; operator convex function; normal family; integral representation},
}

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%0 Conference Proceedings
%T New results on operator monotone functions
%A Sal Moslehian, Mohammad
%A Najafi, Hamed
%J چهل و سومین کنفرانس ریاضی ایران
%D 2012

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