摘要
给出巴拿赫空间投影算子序列强收敛的某些条件,推广了[1]的结果,指出自反空间中单调增大投影序列强收敛的特征,并讨论黎斯算子的一种谱分解和West分解。
In this article, we prove some fundamental theorems on strongly convergent sequences of projections on general Banach spaces. These results are then applied to a class of Riesz operators T on a Banach space X for which there exists on enumeration of the nonzero eigenvalues of T, {λ_i}, such that sup‖sum from i=1 to n E(λ_i;T)‖ <∞, For such T, we obtain-a spectral decomposition corresponding to {λ_i} and show a sufficient condition, sum from |λ_n-λ_(n-1)|<∞, for T to admit of a West decomposition.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
1990年第3期8-16,共9页
Journal of Fujian Normal University：Natural Science Edition
关键词
巴拿赫空间
投影算子
强收敛序列
Banach spaces, projective operators, strongly convergent sequences of operators, Riesz operators, West decomposition
