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1.
On the supercyclicity and hypercyclicity of the operator algebra 总被引:1,自引:0,他引:1
Let B(X) be the operator algebra for a separable infinite dimensional Hilbert space H, endowed with the strong operator topology or *-strong topology. We give sufficient conditions for a continuous linear mapping L : B(X) →B(X) to be supercyclic or ,-supercyclic. In particular our condition implies the existence of an infinite dimensional subspace of supercyclic vectors for a mapping T on H. Hypercyclicity of the operator algebra with strong operator topology was studied' by Chan and here we obtain an analogous result in the case of *-strong operator topology. 相似文献
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In this paper, we study some properties of composition operators on Hilbert spaces of Dirichlet series, which include the Fredholmness, Hilbert-Schmidtness, spectra, cyclic and hypercyclic phenomenons, and also answer a norm question raised by Cowen and MacCluer. 相似文献
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变系数线性微分方程的算子解法 总被引:3,自引:1,他引:2
方书盛 《数学的实践与认识》2004,34(7):159-165
首先讨论变系数线性微分算子因式分解式的存在条件 ,并且给出微分算子因式分解的一些技巧 ,然后给出变系数线性微分方程算子解法的两种方法 . 相似文献
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本文讨论了 n阶变系数线性微分方程在变量代换下可化为可解方程组的问题 ,把文 [1 ]的二阶情形推广至 n阶情形 ,且例举了三阶情形 . 相似文献
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Pu Zhang Jiukun Hua 《分析论及其应用》2005,21(3):226-234
Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H^1(R^n) into the weak L^1 (R^n) space and from certain atomic Hardy space Hb^1 (R^n) into the Lebesgue space L^1 (R^n), when the multiplier m satisfies the conditions of Hoermander type. 相似文献
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利用Mikusinski J的算符演算,移动算符级数和微分算符的有关公式,给出更为一般的低阶常系数线性差分微分方程的级数形式解. 相似文献
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Subordination Results for ρ-Valent Meromorphic Functions Associated with a Linear Operator 下载免费PDF全文
A. O. Mostafa & M. K. Aouf 《分析论及其应用》2014,30(4):369-376
In this paper, by making use of the Hadamard products, we obtain some subordination results for certain family of meromorphic functions defined by using a new linear operator. 相似文献
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Recently, Bès, Martin, and Sanders [11] provided examples of disjoint hypercyclic operators which fail to satisfy the Disjoint Hypercyclicity Criterion. However, their operators also fail to be disjoint weakly mixing. We show that every separable, infinite dimensional Banach space admits operators T1,T2,…,TN with N?2 which are disjoint weakly mixing, and still fail to satisfy the Disjoint Hypercyclicity Criterion, answering a question posed in [11]. Moreover, we provide examples of disjoint hypercyclic operators T1, T2 whose corresponding set of disjoint hypercyclic vectors is nowhere dense, answering another question posed in [11]. In fact, we explicitly describe their set of disjoint hypercyclic vectors. Those same disjoint hypercyclic operators fail to be disjoint topologically transitive. Lastly, we create examples of two families of d-hypercyclic operators which fail to have any d-hypercyclic vectors in common. 相似文献
9.
变系数线性齐次常微分方程组的λ-矩阵求解法 总被引:3,自引:0,他引:3
李建湘 《数学的实践与认识》2002,32(3):470-475
进一步讨论了微分变换矩阵的性质 ,指出了变系数线性齐次微分方程组 ,通过因变量变换化为常系数线性齐次方程组的充要条件 相似文献
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n阶变系数线性差分微分方程的解 总被引:1,自引:0,他引:1
利用Mikusi'nski算符域中变系数算符概念和相应的算符系数移动算符幂级数的概念和结果,获得初值条件下n阶变系数线性差分微分方程的解. 相似文献
13.
S. P. Khekalo 《Mathematical Notes》2005,77(5-6):843-854
In this paper, we study the relation between the notion of gauge equivalence and solutions of certain systems of nonlinear partial differential equations. This relation is based on stepwise gauge equivalence.__________Translated from Matematicheskie Zametki, vol. 77, no. 6, 2005, pp. 917–929.Original Russian Text Copyright ©2005 by S. P. Khekalo. 相似文献
14.
Thomas H. MacGregor 《Journal of Mathematical Analysis and Applications》2003,282(1):163-176
We consider Hadamard products of power functions P(z)=(1−z)−b with functions analytic in the open unit disk in the complex plane, and an integral representation is obtained when 0<Reb<2. Let where μ is a complex-valued measure on the closed unit disk Such sequences are shown to be multipliers of Hp for 1?p?∞. Moreover, if the support of μ is contained in a finite set of Stolz angles with vertices on the unit circle, we prove that {μn} is a multiplier of Hp for every p>0. When the support of μ is [0,1] we get the multiplier sequence which provides more concrete applications. We show that if the sequences {μn} and {νn} are related by an asymptotic expansion
15.
S. W. Drury 《Linear algebra and its applications》1998,280(2-3):217-227
In this article we show how to estimate the trace multiplier norm of a rank 2 matrix. As an application, an alternative proof of a theorem of Holbrook et al. (Maximal spectral distance, Linear Algebra Appl., 249 (1996) 197–205) on the maximal spectral distance between two normal matrices with prescribed eigenvalues is given. 相似文献
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Luis Bernal-Gonzlez María Del Carmen Caldern-Moreno 《Journal of Approximation Theory》2002,119(2):156-180
In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic functions of a domain in the complex plane. The concept is more restrictive than that of strongly omnipresent operators, also introduced by the authors in an earlier work, and both of them are related to the existence of functions whose images under such operators exhibit an extremely wild behaviour near the boundary. Sufficient conditions for an operator to be totally omnipresent as well as several outstanding examples are provided. After extending a statement of the first author about the existence of large linear manifolds of hypercyclic vectors for a sequence of suitable continuous linear mappings, it is shown that there is a dense linear manifold of holomorphic monsters in the sense of Luh, so completing earlier nice results due to Luh and Grosse-Erdmann. 相似文献
20.
Michael M. Vinogradov 《Acta Appl Math》1997,49(3):271-280
Let K R P be a tower of fields, N be a P-module, and : R N be a K-linear differential operator. The aim of this paper is to investigate whether the operator has an extension to P, i.e. if these exists a differential operator : P N such that |R = . The results of this paper were published in Russian in Mat. Zametki 30(2) (1981), 237–248. 相似文献