A+ CATEGORY SCIENTIFIC UNIT

A numerical radius inequality involving the generalized Aluthge transform

Volume 216 / 2013

Amer Abu Omar, Fuad Kittaneh Studia Mathematica 216 (2013), 69-75 MSC: Primary 47A10, 47A12, 47A30, 47A63; Secondary 15A60, 47B15, 47B49. DOI: 10.4064/sm216-1-5

Abstract

A spectral radius inequality is given. An application of this inequality to prove a numerical radius inequality that involves the generalized Aluthge transform is also provided. Our results improve earlier results by Kittaneh and Yamazaki.

Authors

  • Amer Abu OmarDepartment of Basic Sciences and Mathematics
    Philadelphia University
    Amman, Jordan
    e-mail
  • Fuad KittanehDepartment of Mathematics
    University of Jordan
    Amman, Jordan
    e-mail

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