一类新型非正规算子的谱分析  

Spectral Theory of a New Kind of Non-Normal Operators

作　　者：孙万贵[1] 

机构地区：[1]西北大学经济管理学院,西安710069

出　　处：《数学学报（中文版）》2007年第5期1129-1134,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：本文引入了一类新型非正规算子,即具复谱的u-标算子.证明了该类算子具有Jordan型分解,讨论了u-标算子与标型谱算子的关系,并通过例子说明了该类算子的构造.A new kind of non-normal operators, the so-called u-scalar operators with complex spectra, is introduced. Such operators are proved to have Jordan-type decomposition. The relations between u-scalar operators with complex spectra and scalartype spectral operators are discussed. And the construction and some examples of u-scalar operators with complex spectra are also given.

关 键 词：具复谱的u-标算子 Jordan型分解 Hermite算子 标型谱算子 

分 类 号：O177.2[理学—数学]