摘要
研究了斜对角块算子矩阵H=(0BC0)的本质谱.通过算子矩阵内部元素B和C的乘积算子的本质谱给出了整体算子矩阵本质谱的刻画.作为应用,研究了矩形板弯曲方程导出的无穷维Hamilton算子的本质谱.
Essential spectrum of off-diagonal operator matrices of the form H = 〔0 B C 0〕 is stud ied. A connection is estabtished between the essential spectrum of the product operators of H's inner elements B and C and the essential spectrum of H. As an application, the essential spectrum of Hamiltonian operator matrix which is derived from the plate bending equation is discussed.
出处
《内蒙古大学学报(自然科学版)》
CAS
CSCD
北大核心
2014年第6期561-564,共4页
Journal of Inner Mongolia University:Natural Science Edition
基金
国家自然科学基金资助项目(11371185)
内蒙古自然科学基金重大项目(2013ZD01)