A+ CATEGORY SCIENTIFIC UNIT

Numerical radius inequalities for Hilbert space operators. II

Volume 182 / 2007

Mohammad El-Haddad, Fuad Kittaneh Studia Mathematica 182 (2007), 133-140 MSC: 47A12, 47A30, 47A63, 47B15. DOI: 10.4064/sm182-2-3

Abstract

We give several sharp inequalities involving powers of the numerical radii and the usual operator norms of Hilbert space operators. These inequalities, which are based on some classical convexity inequalities for nonnegative real numbers and some operator inequalities, generalize earlier numerical radius inequalities.

Authors

  • Mohammad El-HaddadDepartment of Mathematics
    Science College for Girls
    Dammam, Saudi Arabia
    e-mail
  • Fuad KittanehDepartment of Mathematics
    University of Jordan
    Amman, Jordan
    e-mail

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