Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 274-277.

Previous Articles     Next Articles

Local Spectral Properties of Total Class wF(p, r, q) Operators

  

  1. Department of Mathematics and Physics, Anyang Institute of Technology

  • Received:2006-09-08 Online:2009-06-30 Published:2023-08-11
  • About author:HUA Shou-liang(1962-), male, native of Xinxiang, Henan, an associate professor of Anyang Institute of Technology, engages in the theory of Banach space.

Abstract: In this paper, by initiative research on local spectral theory of total class wF(p,r,q) operators, we get some important results. Such as total class wF(p,r,q) operators is normaloid operator, the local spectral subspace of total class wF(p,r,q) operators is equal to the space EλH(Eλ the Reisz idempotent, with respect to λ, of T), total class wF(p,r,q) operators has finite ascent, and so on.

Key words: total class wF(p, r, q), local spectra subspace, finite ascent

CLC Number: