Characterization of equality in a generalized Dunkl-Williams inequality

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:384

Article

Moslehian, M. S.¹  Dadipour, F.¹ 

[1] Ferdowsi Univ Mashhad, CEAAS, Dept Pure Math, Mashhad 91775, Iran

关键词: Dunkl-Williams inequality;    Triangle inequality;    Pre-Hilbert C*-module;   

DOI  :  10.1016/j.jmaa.2011.05.002

来源: Elsevier

【 摘 要 】

We establish a generalization of the Dunkl-Williams inequality and its inverse in the framework of Hilbert C*-modules and characterize the equality case. As applications, we get some new results and some known results due to J.E. Pecaric and R. Rajic [The Dunkl-Williams equality in pre-Hilbert C*-modules, Linear Algebra Appl. 425 (1) (2007) 16-25]. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free