设H和K为可分的无穷维Hilbert空间. 对于给定的算子A∈B(H)和B∈B(K),本文给出存在(和所有) C∈B(K, H),使得(???569-01.jpg???)为(α,β)-半Fredholm算子的充分必要条件. 此外, 得到了相关结论.
Abstract
Let H and K be separable infinite dimensional Hilbert spaces, and let A∈B(H) and B∈B(K), be given operators. A necessary and sufficient condition is obtained for (???569-01.jpg???) to be an (α,β)- semi-Fredholm operator for some (respectively, all) C∈B(K, H).Furthermore, some related results are obtained.
关键词
本质谱 /
算子矩阵 /
Fredholm算子
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Key words
essential spectra /
operator matrices /
Fredholm operator
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参考文献
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脚注
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基金
国家自然科学基金(10962004);内蒙古自然科学基金(2011MS0104);内蒙古自治区高等院校科学技术研究重点项目(NJZZ11011);内蒙古大学高层次引进人才科研启动项目(Z20100116)
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