排序方式: 共有11条查询结果,搜索用时 15 毫秒
1.
In this paper, we study various properties of algebraic extension of *-A operator.Specifically, we show that every algebraic extension of *-A operator has SVEP and is isoloid.And if T is an algebraic extension of *-A operator, then Weyl's theorem holds for f(T), where f is an analytic functions on some neighborhood of σ(T) and not constant on each of the components of its domain. 相似文献
2.
该文利用Hahn Banach定理得到了凸性模定义中若干等式的证明,并且指出对维数不小
于2的实线性赋范空间犡,有类似的等式成立。 相似文献
3.
The study of operators satisfying σja(T) = σa(T) is of significant interest. Does σja(T) = σa(T) for n-perinormal operator T ∈ B(H)ff This question was raised by Mecheri and Braha [Oper. Matrices 6(2012), 725–734]. In the note we construct a counterexample to this question and obtain the following result: if T is a n-perinormal operator in B(H), then σja(T)\{0} = σa(T)\{0}. We also consider tensor product of n-perinormal operators. 相似文献
4.
In this article, the authors introduce two operators-geometrical maximal operator Mo and the closely related limiting operator M0^*, then they give sufficient conditions under which the equality M0=MM0^* holds, and characterize the equivalent relations between the weak or strong type weighted inequality and the property of W∞-weight or W∞^*-weight for the geometrical maximal operator in the case of two-weight condition. What should be mentioned is that the new operator-the geometrical minimal operator is equal to the limitation of the minimal operator sequence, and the results for the minimal operator proved in [12] makes the proof elegant and evident. 相似文献
5.
In this article the authors introduce the minimal operator on martingale spaces, discuss some one-weight and two-weight inequalities for the minimal operator and characterize the conditions which make the inequalities hold. 相似文献
6.
7.
In this paper,we give out a further extension of the relations between two famous inequalities(B r 2 A p B r 2) r p+r≥B r and Ap≥(A p 2 B r A p 2) p p+r,which can yield the result of Yamazaki and Yanagida’s. 相似文献
8.
9.
算子集上的伪双曲距离 总被引:1,自引:0,他引:1
在复Hilbert空间上的有界线性算子构成的复Banach空间上,对算子范数小于1的交换自伴算子集定义了伪双曲距离,并且利用算子函数论的方法,证明了在此集合上定义的伪双曲距离满足距离公理且它关于变换φS(·)不变(此处S∈BH). 相似文献
10.