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Integral Equations and Operator Theory

, Volume 13, Issue 3, pp 307–315 | Cite as

Onp-hyponormal operators for 0<p<1

  • Ariyadasa Aluthge
Article

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|.

Keywords

Unitary Operator Spectral Radius Point Spectrum Polar Decomposition Joint Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 1990

Authors and Affiliations

  • Ariyadasa Aluthge
    • 1
  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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