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Upper bounds for the numerical radius of Hilbert space operators

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Abstract

New upper bounds for the numerical radius of Hilbert space operators are given. Moreover, we give some applications of our result in estimation of spectral radius. We also compare our results with some known results.

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References

  1. Dragomir, S.S.: Some inequalities for the norm and the numerical radius of linear operators in Hilbert spaces. Tamkang J. Math. 39(1), 1–7 (2008)

    Article  MathSciNet  Google Scholar 

  2. Gustafson, K.E., Rao, D.K.M.: Numerical Range. Springer, New York (1997)

    Book  Google Scholar 

  3. El-Haddad, M., Kittaneh, F.: Numerical radius inequalities for Hilbert space operators II. Studia Math. 182, 133–140 (2007)

    Article  MathSciNet  Google Scholar 

  4. Kian, M.: Operator Jensen inequality for superquadratic functions. Linear Algebra Appl. 456, 82–87 (2014)

    Article  MathSciNet  Google Scholar 

  5. Kittaneh, F.: A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix. Studia Math. 158, 11–17 (2003)

    Article  MathSciNet  Google Scholar 

  6. Kittaneh, F.: Notes on some inequalities for Hilbert space operators. Publ. Res. Inst. Math. Sci. 24(2), 283–293 (1988)

    Article  MathSciNet  Google Scholar 

  7. Kittaneh, F.: Numerical radius inequalities for Hilbert space operators. Studia Math. 168(1), 73–80 (2005)

    Article  MathSciNet  Google Scholar 

  8. Mirmostafaee, A.K., Rahpeyma, O.P., Omidvar, M.E.: Numerical radius inequalities for finite sums of operators. Demonstr. Math. 47(4), 963–970 (2014)

    MathSciNet  MATH  Google Scholar 

  9. Shebrawi, K., Albadawi, H.: Numerical radius and operator norm inequalities. J. Inequal. Appl. 492154, 11 (2009)

    MathSciNet  MATH  Google Scholar 

  10. Vasić, M.P., Keĉkić, D.J.: Some inequalities for complex numbers. Math. Balkanica 1, 282–286 (1971)

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

    Akram Mansoori & Mohsen Erfanian Omidvar

  2. Department of Mathematics, Al-Balqa Applied University, Salt, 19117, Jordan

    Khalid Shebrawi

Authors
  1. Akram Mansoori
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  2. Mohsen Erfanian Omidvar
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  3. Khalid Shebrawi
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Correspondence to Mohsen Erfanian Omidvar.

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Mansoori, A., Omidvar, M.E. & Shebrawi, K. Upper bounds for the numerical radius of Hilbert space operators. Rend. Circ. Mat. Palermo, II. Ser 70, 1473–1481 (2021). https://doi.org/10.1007/s12215-020-00563-w

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  • DOI: https://doi.org/10.1007/s12215-020-00563-w

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