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Onp-hyponormal operators for 0<p<1

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Abstract

The distance formula ‖Tt-λI)−1‖=[Dist(λ, σ(T)]−1, λ∉σ(T), for hyponormal operators, is generalized top-hyponormal operators for 0<p<1. Several other results involving eigenspaces ofU and |T|, the joint point spectrum, and the spectral radius are also otained, where |T|=(T * T)1/2 andU is the unitary operator in the polar decomposition of thep-hyponormal operatorT=U|T|.

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References

  1. K. F. Clancey, Seminormal Operators, Lecture notes in Math. No. 742, 1980.

  2. R. G. Donoghue, Montone Matrix Functions and Analytic Continuation, Springer-Verlag, 1974.

  3. T. Furuta,A≥B≥0 assures(B r Ap Br)1/q≥B(p+2r)/q andA p(+2r)/q≥(Ar Bp Ar)1/q forr≥0,a≥1 with (1+2r)q≥p+2r, Proc. Amer. Math. Soc.101(1987), 85–88.

    Google Scholar 

  4. K. Löwner, Uber monotone matrix functione, Math. Z.38(1934), 177–216.

    Google Scholar 

  5. G. K. Pederson and M. Takesaki, The operator equationTHT=K, Proc. Amer. Math. Soc.36(1972), 311–312.

    Google Scholar 

  6. C. R. Putnam, Commutation Properties of Hilbert space operators, Eng. Math. Greng. No. 36, Berling 1967.

  7. J. G. Stampfli, Hyponormal operators, Pacific Journal of Math.12(1962), 1453–1458.

    Google Scholar 

  8. J. G. Stampfli, Hyponormal operators and spectral density, Tran. Amer. Math. Soc.117(1965), 469–476.

    Google Scholar 

  9. D. Xia, On the nonnormal operators-semihyponormal operators, Sci. Sinica23(1980), 700–713.

    Google Scholar 

  10. D. Xia, Spectral Theory of Hyponormal Operators, Birkhäuser Verlag, Boston, 1983.

    Google Scholar 

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  1. Department of Mathematics, Vanderbilt University, 37235, Nashville, TN, USA

    Ariyadasa Aluthge

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  1. Ariyadasa Aluthge
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Aluthge, A. Onp-hyponormal operators for 0<p<1. Integr equ oper theory 13, 307–315 (1990). https://doi.org/10.1007/BF01199886

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  • DOI: https://doi.org/10.1007/BF01199886

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