The stability of the left invertible operators under the linear operation and some perturbation questions are discussed in this paper,and an example is given to explain that R(A)∩R(B)={0} is not necessary so that λA+B is also a left invertible operator for λ∈C when A and B are left invertibl
主要讨论了 Banach空间上左可逆算子在线性运算下的稳定性及一些摄动问题 ,并通过反例证明了对于 Banach空间上的左可逆算子 A和 B,R(A)∩ R(B) ={0 }不是 λA+B( λ∈C)为左可逆算子的必要条件 。
In this paper,a study on the spectrum of a class of six-order left-definite differential operators is presented.
本文研究了一类六阶左定微分算子的谱,利用krein空间中不定微分算子的特征以及左定微分算子与右定微分算子的关系,得到结论:自伴边界条件的六阶左定微分算子的特征值均为实数,而且上无界下无界,且算子的特征值可以排序为…≤λ-2≤λ-1≤λ-0<0<λ0≤λ1≤λ2≤
