算子矩阵:单值扩张性与Browder谱Operator Matrices:Single Valued Extension Property and Browder Spectrum
江樵芬;钟怀杰;
摘要(Abstract):
设X,Y是给定的Banach空间,对A∈B(X),B∈B(Y),C∈B(Y,X),以MC记XY上的算子{A C/0 B}.利用局部谱理论的工具给出关于A,B成立σ*(Mc)=σ*(A)∪σ*(B)(σ*∈{αb,σw,σD})的一些充分条件,同时给出例子说明所给的充分条件不同于Djordjevic S.V.,Zguitti H.和Zhang Y.N.等人所给的充分条件.
关键词(KeyWords): 算子矩阵;单值扩张性;Browder谱
基金项目(Foundation): 国家自然科学基金资助项目(10771034);; 福建省自然科学基金资助项目(S0650009);; 福建省教育厅基金资助项目(JB07047)
作者(Authors): 江樵芬;钟怀杰;
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