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References

  1. [1] DRAGOMIR, S. S.: A survey of some recent inequalities for the norm and numerical radius of operators in Hilbert spaces, Banach J. Math. Anal. 1 (2007), no.2, 154–175. (Zbl 1136.47006, MR2366098.)
  2. [2] DRAGOMIR, S. S.: Power inequalities for the numerical radius of a product of two operators in Hilbert spaces,Sarajevo J.Math. 5 (18) (2009), no. 2, 269–278. (Zbl 1225.47008, MR2567758.)
  3. [3] DRAGOMIR, S. S.: Inequalities for the norm and numerical radius of composite operator in Hilbert spaces,In: Inequalities Applications, Internat. Ser. Numer. Math. Vol. 157, Birkhäuser, Basel, 2009. pp. 135–146. (Zbl 1266.26036, MR2758975.)10.1007/978-3-7643-8773-0_13
  4. [4] GOLDBERG, M.—TADMOR, E.: On the numerical radius and its applications,Linear Algebra Appl. 42 (1982), 263–284. (Zbl 0479.47002, MR0656430.)10.1016/0024-3795(82)90155-0
  5. [5] GUSTAFSON, K. E.—RAO, D. K. M.: Numerical Range, The Field of Values of Linear Operators and Matrices, Universitext, Springer-Verlag, New York, Inc., 1997. (Zbl 0874.47003, Zbl 0362.47001. MR1417493.)
  6. [6] KITTANEH, F.: Numerical radius for Hilbert space operators, Studia Math. 168 (2005), no. 1, 73–80. (Zbl 1072.47004, MR 2133388.)
  7. [7] MIRMOSTAFAEE, A. K.—RAHPEYMA, O. P.—OMIDVAR M. E.: Numerical radius ineqalities for finite sums of operators, Demonstratio Math. 47 (2014), no. 4, 963–970. (Zbl 1304.47007, MR 3290398.)
  8. [8] MURPHY, G. J.: C*-algebras and Operator Theory. Academic Press, Inc., Boston, MA, 1990.
  9. [9] STONE,M.S.: Linear Transformations in Hilbert Space. (Reprint of the 1932 original.) In: Amer. Math. Soc. Colloq. Publ. Vol. 15, Amer. Math. Soc. Providence, RI, 1990.
DOI: https://doi.org/10.2478/tmmp-2022-0012 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 155 - 164
Submitted on: Aug 28, 2021
Published on: Nov 29, 2022
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2022 Sadaf Fakri Moghaddam, Alireza Kamel Mirmostafaee, published by Slovak Academy of Sciences, Mathematical Institute
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