Skip to main content

Upper Bounds for the Euclidean Operator Radius and Applications


The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an -tuple of bounded linear operators on a Hilbert space. The tools used are provided by several generalizations of Bessel inequality due to Boas-Bellman, Bombieri, and the author. Natural applications for the norm and the numerical radius of bounded linear operators on Hilbert spaces are also given.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations


Corresponding author

Correspondence to S. S. Dragomir.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Dragomir, S.S. Upper Bounds for the Euclidean Operator Radius and Applications. J Inequal Appl 2008, 472146 (2008).

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI:


  • Full Article
  • Publisher Note
  • Operator Radius
  • Euclidean Operator