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Original Articles

Sup and Max Properties for the Numerical Radius of Operators in Banach Spaces

Pages 492-498 | Received 22 Jul 2015, Accepted 30 Oct 2015, Published online: 12 Apr 2016

References

  • V. A. Khatskevich, M. I. Ostrovskii, and V. S. Shulman (2005). Extremal problems for operators in Banach spaces arising in the study of linear operator pencils. Integral Equations Operator Theory 51:109–119.
  • V. A. Khatskevich and V. S. Shulman (2003). On linear operator pencils and inclusions of images of balls. In: Trends in Banach Spaces and Operator Theory (Memphis, TN, 2001). Contemp. Math., vol. 321. Amer. Math. Soc., Providence, RI, pp. 115–124.
  • F. L. Bauer (1962). On the field of values subordinate to a norm. Numer. Math. 4:103–113.
  • F. F. Bonsall and J. Duncan (1971). Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras. London Mathematical Society Lecture Note Series, Vol. 2. Cambridge University Press, London, UK.
  • J. Duncan, C. M. McGregor, J. D. Pryce, and A. J. White (1970). The numerical index of a normed space. J. London Math. Soc. 2:481–488.
  • P. C. M. Vieira and C. S. Kubrusly (2007). Multiplicative perturbation by contractions and uniform stability. Z. Anal. Anwend. 26(4):391–406.
  • R. V. Kadison and J. R. Ringrose (1983). Fundamentals of the Theory of Operator Algebras. Vol. I. Elementary Theory. Pure and Applied Mathematics, Vol. 100. Academic Press, Inc., New York, NY.
  • J. P. Williams (1967). Spectra of products and numerical ranges. J. Math. Anal. Appl. 17: 214–220.
  • J. Lindenstrauss and L. Tzafriri (1979). Classical Banach Spaces. II. Function Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 97. Springer-Verlag, Berlin, Germany.
  • P. Greim, J. E. Jamison, and A. Kaminska (1994). Almost transitivity of some function spaces. Math. Proc. Cambridge Philos. Soc. 116(3):475–488.

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