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发文基金:国家自然科学基金福建省自然科学基金更多>>
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Browder Spectra and Essential Spectra of Operator Matrices被引量:5
2008年
Let Mc = ( A0CB ) be a 2 × 2 upper triangular operator matrix acting on the Banach space X × Y. We prove that σr(A) ∪ σr( B)= σr (Mc) ∪ W ,where W is the union of certain of the holes in σr(Mc) which happen to be subsets of σr(A) ∩ σr(B), and σr(A), σr(B), σr(Mc) can be equal to the Browder or essential spectra of A, B, Mc, respectively. We also show that the above result isn't true for the Kato spectrum, left (right) essential spectrum and left (right) spectrum.
Yun Nan ZHANGHuai Jie ZHONGLi Qiong LIN
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