noncommuting operators

Speicher s conditional freeness to operator-valued noncommutative probability space and obtain an equivalent definition by cummulant function.

Speicher的条件自由的概念推广到算子值非交换概率空间中,并利用累积函数给出一个等价定义,进而很容易地得到满足条件自由的随机变量的Voiculescu加法卷积公式。

In this paper,we study hypercyclicity of the set of commuting operators on Hilbert space,give a sufficient condition for the set of commuting operators on Hilbert space sharing a dense hypercyclic subspace.

在本文中,讨论了Hilbert空间上可交换算子集合的超循环问题,给出了一个可交换算子集合具有公共的稠的超循环子空间的充分条件。

Let{Xn:n=1,2…} be a sequence of bounded invertible operators on Hilbert space H,T=(T1,T2,…Tn)a n-tuple of pairwise commuting operators on,H,XmTX-1m=(XmT1X-1m,XmT2X-1m,…,XmTnX-1m).

设{Xn:n=1,2,…}是定义在Hilbert空间H上有界可逆算子序列,T=(T1,T2,…Tn)是有界交换算子组,XmTXm-1=(XmT1X-m1,XmT2Xm-1,…,XmTnXm-1,…,XmnXm-1),证明了如果Ξ={T=(T1,T2,…,Tn)∈L(H)ncom:limm→∞XmTXm-1存在}是闭集,T∈Ξ且limm→∞XmTX-m1=(limm→∞XmT1Xm-1,limm→∞XmT2X-m1,…,limm→∞XmTnXm-1)∈L(H)cnom,则T与limm→∞XmTXm-1的联合谱半径满足rsp(T)≤rsp(ml→im∞XmTXm-1)≤sl→im∞(α∈Z∑n+,|α|=s(s!/α!)‖T1α1…Tnαn‖2)1/(2s),这里|α|=∑nαi,α!=α1!…αn!,同时也给出了算子组T与limXmTX-m1的共同不变子空间。

Compact Normal Operators, Commutativity up to a λ for a Pair of Operators and Operator Completion Problems;

正规紧算子λ-交换算子对和算子补问题

Boundedness of the Commutators of Littlewood-Paley Operators;

Littlewood-Paley算子交换子的有界性问题

The Properties of Marcinkiewicz Integral Operators and Commutators;

Marcinkiewicz积分算子及其交换子的性质

Some Estimates for Marcinkiewicz Type Operators and Its Commutators;

关于Marcinkiewicz型算子及其交换子的某些估计

Multilinear Littlewood-Paley Commutator;

Littlewood-Paley算子的多线性交换子

The Continuity for Maximal Operator of Bochner-Riesz and Its Commutators;

Bochner-Riesz极大算子及其交换子的连续性

Endpoint Estimates for Commutators of Singular Integral Operator with Dini-type Kernel;

Dini型核奇异积分算子交换子端点估计

Boundedness for a Class of Marcinkiewicz Integral Operators and Its Commutators;

Marcinkiewicz积分算子及其交换子的有界性

Weighted Estimates for Marcinkiewicz Integral Operator and Commutators;

Marcinkiewicz积分算子及交换子的加权估计

Boundedness of Commutators of Generalized Calderón-Zygmund Operators;

广义Calderón-Zygmund算子交换子的有界性

The Research on Multilinear Commutators of Littlewood-Paley Operator

Littlewood-Paley算子生成的多线性交换子研究

Weighted Inequalities for Multilinear Commutators of Potential Type Operators

位势算子多线性交换子的加权不等式

Boundedness of Multilinear Commutators of Littlewood-Paley Operator

Littlewood-Paley算子的多线性交换子的有界性

The Boundedness of Commutator of Multilinear Singular Integral Operator of Calderón-Zygmund

多线性Calderón-Zygmund算子交换子的有界性

Boundedness for Commutators of Littlewood-Paley Operators on Hardy-Lorentz Spaces

Littlewood-Paley算子交换子的有界性

Boundedness of Littlewood-Paley operators and its commutators

Littlewood-Paley算子及其交换子的有界性

CBMO Estimates for Commutator of θ-type Calderón-Zygmund Operator

θ型Calderón-Zygmund算子交换子的CBMO估计

Boundedness of Fourier Integral Operator and of Multilinear Commutators of Marcinkiewicz Integral Operator;

Fourier积分算子和Marcinkiewicz积分算子的交换子的有界性