English

Characterization of equality in a generalized Dunkl--Williams inequality

Functional Analysis 2011-08-09 v1 Operator Algebras

Abstract

We establish a generalization of the Dunkl--Williams inequality and its inverse in the framework of Hilbert CC^*-modules and characterize the equality case. As applications, we get some new results and some known results due to Pe\v{c}ari\'c and Raji\'c [Linear Algebra Appl. 425 (2007), no. 1, 16--25].

Keywords

Cite

@article{arxiv.1108.1470,
  title  = {Characterization of equality in a generalized Dunkl--Williams inequality},
  author = {Mohammad Sal Moslehian and Farzad Dadipour},
  journal= {arXiv preprint arXiv:1108.1470},
  year   = {2011}
}

Comments

11 pages, appeared in J. Math Anal. Appl. (Elsevier)

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