完全wF(p,r,q)类算子的局部谱性质

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 274-277.

完全wF(p,r,q)类算子的局部谱性质

Department of Mathematics and Physics, Anyang Institute of Technology

收稿日期:2006-09-08 出版日期:2009-06-30 发布日期:2023-08-11
作者简介:HUA Shou-liang(1962-), male, native of Xinxiang, Henan, an associate professor of Anyang Institute of Technology, engages in the theory of Banach space.
基金资助:

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

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.

摘要/Abstract

摘要： 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.

关键词: total class wF(p, r, q), local spectra subspace, finite ascent

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

中图分类号:

O177.1

华守亮, 赵玉亮. 完全wF(p,r,q)类算子的局部谱性质[J]. 数学季刊, 2009, 24(2): 274-277.

HUA Shou-liang, ZHAO Yu-liang. Local Spectral Properties of Total Class wF(p, r, q) Operators[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 274-277.

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