Skip to main content
Log in

Norm Inequalities for Commutators of \(G_{1}\) Operators

  • Published:
Complex Analysis and Operator Theory Aims and scope Submit manuscript

Abstract

We prove norm inequalities involving commutators of \(G_{1}\) operators and certain analytic functions. A perturbation inequality for \(G_{1}\) operators is also given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bhatia, R.: Matrix Analysis. Springer, New York (1997)

    Book  Google Scholar 

  2. Bhatia, R., Kittaneh, F.: Some inequalities for norms of commutators. SIAM J. Matrix Anal. Appl. 18, 258–263 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  3. Boyadzhiev, K.N.: Norm estimates for commutators of operators. J. Lond. Math. Soc. 57, 739–745 (1998)

    Article  MathSciNet  Google Scholar 

  4. Donoghue, W.F.: Monotone Matrix Functions and Analytic Continuation. Springer, New York (1974)

    Book  MATH  Google Scholar 

  5. Dunford, N., Schwartz, J.: Linear Operators I. Interscience, New York (1958)

    MATH  Google Scholar 

  6. Gohberg, I.C., Krein, M.G.: Introduction to the Theory of Linear Nonselfadjoint Operators. American Mathematical Society, Providence (1969)

  7. Kittaneh, F.: On Lipschitz functions of normal operators. Proc. Am. Math. Soc. 94, 416–418 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kittaneh, F., Kosaki, H.: Inequalities for the Schatten \(p\)-norm V. Publ. Res. Inst. Math. Sci. 23, 433–443 (1986)

    Article  MathSciNet  Google Scholar 

  9. Putnam, C.R.: Operators satisfying a \(G_{1}\) condition. Pac. J. Math. 84, 413–426 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  10. Rudin, W.: Functional Analysis. McGraw-Hill, New York (1973)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fuad Kittaneh.

Additional information

Communicated by Palle Jorgensen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kittaneh, F. Norm Inequalities for Commutators of \(G_{1}\) Operators. Complex Anal. Oper. Theory 10, 109–114 (2016). https://doi.org/10.1007/s11785-015-0485-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11785-015-0485-4

Keywords

Mathematics Subject Classification

Navigation