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Some Conditions on the West Decomposition of Riesz Operators
Author(s): 
Pages: 26-28
Year: Issue:  1
Journal: Journal of Fujian Normal University(Natural Science Edition)

Keyword:  West巴拿赫空间代数重数零特征值充分必要条件正则点依范数收敛无穷维希尔伯特空间上三角矩阵;
Abstract: In this paper, we first give some sufficient and necessary conditions for Riesz operators on general Banach spaces to have West decomposition. Then, we obtain a sufficient condition, Σ|λ_n|<∞, for T∈R(X) (X denotes any Banach space) to admit of a West decomposition T = K +Q, here {λ_n} being an enumeration of the nonzero eigenvalues of T, each repeated as many times as its algebraic multiplicity.This condition apparently is weaker than that given by H. Radjavi and C. Laurie.
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