An Inequality for Projections and Convex Functions

被引：3

作者：

Abed S.A. ^{[1
]}

机构：

[1] Kazan (Volga Region) Federal University, ul. Kremlevskaya 18, Kazan, Tatarstan

来源：

Lobachevskii Journal of Mathematics | 2018年 / 39卷 / 9期

关键词：

commutativity; convex function; Hilbert space; measure space; operator inequality; projection; von Neumann algebra;

D O I：

10.1134/S1995080218090214

中图分类号：

学科分类号：

摘要：

We propose the conditions for a continuous function to be projection-convex, i.e. f(λp+ (1 − λ)q) ≤ λf(p) + (1 − λ)f(q) for any projections p and q and any real λ ∈ (0, 1). Also we obtain the characterization of projections commutativity and the characterization of trace in terms of equalities for non-flat functions. © 2018, Pleiades Publishing, Ltd.

引用

页码：1287 / 1292

页数：5

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