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Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces

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Inequalities and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 157))

Abstract

Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are given.

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References

  1. S.S. Dragomir, Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, Bull. Austral. Math. Soc. 73 (2006), 255–262.

    Article  MathSciNet  Google Scholar 

  2. S.S. Dragomir, Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces, Linear Algebra Appl. 419 (2006), 256–264.

    Article  MathSciNet  Google Scholar 

  3. S.S. Dragomir, Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces, Demonstratio Math. 40(2007), 411–417.

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  4. S.S. Dragomir and J. Sándor, Some inequalities in prehilbertian spaces, Studia Univ. “Babeş-Bolyai” — Mathematica 32(1) (1987), 71–78.

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  5. A. Goldstein, J.V. Ryff and L.E. Clarke, Problem 5473, Amer. Math. Monthly 75(3) (1968), 309.

    Article  MathSciNet  Google Scholar 

  6. K.E. Gustafson and D.K.M. Rao, Numerical Range, Springer-Verlag, New York, Inc., 1997.

    Book  Google Scholar 

  7. P.R. Halmos, Introduction to Hilbert Space and the Theory of Spectral Multiplicity, Chelsea Pub. Comp, New York, N.Y., 1972.

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© 2008 Birkhäuser Verlag Basel/Switzerland

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Dragomir, S.S. (2008). Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces. In: Bandle, C., Losonczi, L., Gilányi, A., Páles, Z., Plum, M. (eds) Inequalities and Applications. International Series of Numerical Mathematics, vol 157. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-8773-0_13

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