Integral Equations and Operator Theory

, Volume 13, Issue 3, pp 307–315

Onp-hyponormal operators for 0<p<1

  • Ariyadasa Aluthge

DOI: 10.1007/BF01199886

Cite this article as:
Aluthge, A. Integr equ oper theory (1990) 13: 307. doi:10.1007/BF01199886


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|.

Copyright information

© Birkhäuser Verlag 1990

Authors and Affiliations

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

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