摘要
给定Hilbert空间L2[a,∞)上两个由2n阶对称微分算式生成的微分算子Li(i=1,2),该文给出了乘积算子L2L1是自伴算子的一个充分必要条件.
In this paper, the authors present a necessary and suffcient condition for self-adjointness of the product L2L1 of two differential operators Li (i = 1, 2) associated with the symmetric differential expression l(y) of order 2n in the Hilbert space L2[α, ∞).
出处
《数学物理学报(A辑)》
CSCD
北大核心
2006年第6期953-962,共10页
Acta Mathematica Scientia
关键词
乘积微分算子
自伴算子
边界条件
Products of differential operators
Self-adjoint operator
Boundary conditions.