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Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces

By Sever S Dragomir

Abstract

In this paper various inequalities between the operator norm and\ud its numerical radius are provided. For this purpose, we employ some classical\ud inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff-\ud Clarke, Dragomir-Sándor and the author

Topics: 0101 Pure Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), numerical range, numerical radius, bounded linear operators, Hilbert spaces
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2005
OAI identifier: oai:eprints.vu.edu.au:18024

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Citations

  1. (2005). A potpourri of Schwarz related inequalities in inner product spaces
  2. (2005). A potpourri of Schwarz related inequalities in inner product spaces (II),
  3. (1964). A simple norm inequality,
  4. (1976). Entire solutions of linear elliptic equations with Laplacian principal part,
  5. (1974). Generalizzatione della disiguaglianza di Cauchy-Schwaz (Italian),
  6. (1972). Introduction to Hilbert Space and the Theory of Spectral Multiplicity,
  7. Reverse inequalities for the numerical radius of linear operators in Hilbert spaces,
  8. (2003). Some Gr¨ uss type inequalities in inner product spaces,
  9. (1987). Some inequalities in prehilbertian spaces,
  10. (1985). Some refinements of Schwarz inequality, Simposional de Matematic˘ a ¸ si Aplicat ¸ii,

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