共查询到17条相似文献,搜索用时 62 毫秒
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研究了多重C~*-动力系统在Hilbert C~*-模上表示的膨胀.设(A,α)是一个多重C~*-动力系统,(π,T,E)是(A,α)的行压缩协变表示,证明了存在(π,T,E)的等距膨胀(ρ,V,F). 相似文献
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首先通过权重集的选取改进了HilbertC~*-模中fusion框架的原有定义.然后将K-fusion框架的概念由Hilbert空间推广到Hilbert C~*-模中,并且利用算子理论方法得到了Hilbert C~*-模中K-fusion框架的一些等价刻画. 相似文献
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本文运用算子理论方法,给出Hilbert C~*-模中g-框架的一些性质并讨论g-框架的扰动性,得到g-框架的和的一些刻画,所得结果推广和改进了已有的结果. 相似文献
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观察到Hilbert C*-模中融合框架原定义的不合理性,然后通过权重集的选取将其改进,得到融合框架的新定义并给出其等价形式.特别地,利用算子理论方法得到了Hilbert C*-模中融合框架的一个新刻画. 相似文献
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给出了准Hilbert C~*_- 模中Dunkl-Williams不等式的进一步推广及其倒换,并刻画其等号成立的条件. 相似文献
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本文引入了Hilbert C*-模上的Gabor酉系统的概念,研究了它的基本性质,证明了膨胀定理,并给出某个酉系统的两个正规框架向量不相交的等价条件. 相似文献
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In this paper,we characterize a class of quasi-modular maps on Hilbert C~*-modules which map a "rank one" adjointable operator to another rank one operator. 相似文献
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Let E be a Hilbert C*-module,and ■ be an orthogonally complemented closed submodule of E.The authors generalize the definitions of ■-complementability and ■-compatibility for general(adjointable) operators from Hilbert space to Hilbert C*-module,and discuss the relationship between each other.Several equivalent statements about ■-complementability and ■-compatibility,and several representations of Schur complements of ■-complementable operators(especially,of ■-compatible operators and of positive ■-compatib... 相似文献
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本文研究Hilbert C*-模中K-框架的不等式问题.借助K-对偶构建了闲子模中K-框架的几个新的不等式,所得结果推广和改进了Hilbert空间中框架和Hilbert C*-模中广义框架的相应结果. 相似文献
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Chunhong FU 《数学年刊B辑(英文版)》2023,44(3):325-344
Motivated by two norm equations used to characterize the Friedrichs angle, this paper studies C*-isomorphisms associated with two projections by introducing the matched triple and the semi-harmonious pair of projections. A triple (P, Q, H) is said to be matched if H is a Hilbert C*-module, P and Q are projections on H such that their infimum P ∧ Q exists as an element of L(H), where L(H) denotes the set of all adjointable operators on H. The C*-subalgebras of L(H) generated by elements in {P - P ∧ Q, Q - P ∧ Q, I} and {P, Q, P ∧ Q, I} are denoted by i(P, Q, H) and o(P, Q, H), respectively. It is proved that each faithful representation (π, X) of o(P, Q, H) can induce a faithful representation (π, X e) of i(P, Q, H) such that e π(P - P ∧ Q) = π(P) - π(P) ∧ π(Q),eπ(Q - P ∧ Q) = π(Q) - π(P) ∧ π(Q).When (P, Q) is semi-harmonious, that is, R(P + Q) and R(2I - P - Q) are both orthogonally complemented in H, it is shown that i(P, Q, H) and i(I - Q, I - P, H) are unitarily equivalent via a unitary operator in L(H). A counterexample is constructed, which shows that the same may be not true when (P, Q) fails to be semi-harmonious. Likewise, a counterexample is constructed such that (P, Q) is semi-harmonious, whereas (P, I - Q) is not semi-harmonious. Some additional examples indicating new phenomena of adjointable operators acting on Hilbert C*-modules are also provided. 相似文献
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Yongge Tian 《Journal of Mathematical Analysis and Applications》2002,266(2):333-341
We present an alternative expression for the parallel sum of k Hermitian nonnegative definite matrices by using the Moore-Penrose inverse of a block matrix. 相似文献
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Regarding the generalizations of the Bessel inequality in Hilbert spaces which are due to Bombieri and Boas–Bellman, we obtain a version of the Bessel inequality and some generalizations of this inequality in the framework of Hilbert C *-modules. 相似文献