HYPERCYCLICITY

作品数：6被引量：3H指数：1
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相关领域：理学自动化与计算机技术更多>>
相关作者：徐新军葛斌张亮王春梅更多>>
相关机构：大连理工大学天津大学黑龙江大学哈尔滨工程大学更多>>
相关期刊：《Journal of Mathematical Research with Applications》《Acta Mathematica Scientia》《黑龙江大学自然科学学报》《Acta Mathematica Sinica,English Series》更多>>
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Diskcyclicity of Sets of Operators and Applications
《Acta Mathematica Sinica,English Series》2020年第11期1203-1220,共18页Mohamed AMOUCH Otmane BENCHIHEB 
In this paper,we introduce and study the diskcyclicity and disk transitivity of a set of operators.We establish a diskcyclicity criterion and give the relationship between this criterion and the diskcyclicity.As appli...
关键词：HYPERCYCLICITY supercyclicity diskcyclicity C0-semigroups of operators C-regularizedgroups of operators 
HYPERCYCLICITY, SUPERCYCLICITY AND GENERALIZED RAKOEVIC'S PROPERTY
《Acta Mathematica Scientia》2017年第2期503-510,共8页Mohamed AMOUCH Youness FAOUZI 
A Banach space operator satisfies generalized RakoSevi5＇s property （gw） if the complement of its upper semi B-Weyl spectrum in its approximate point spectrum is the set of eigenvalues of T which are isolated in the...
关键词：Weyl＇s and ^-Weyl＇s theorems generalized Weyl＇s and generalized a^Weyl＇s theorems Browder＇s and a-Browder＇s theorems generalized Browder＇s and generalized a-Browder＇s HYPERCYCLICITY supercyclicity Rakocevic＇s property 
RECURRENCE FOR WEIGHTED TRANSLATIONS ON GROUPS
《Acta Mathematica Scientia》2016年第2期443-452,共10页陈中川 
supported by MOST of Taiwan(MOST104-2115-M-142-002-)
Let G be a locally compact group, and let 1≤p〈∞. We characterize topolog- ically multiply recurrent weighted translation operators on LP（G） in terms of the Haax mea- sure and the weight function. We also show tha...
关键词：Topologically multiple recurrence RECURRENCE HYPERCYCLICITY locally compactgroup L^P-space 
Topologically Mixing and Hypercyclicity of Tuples
《Journal of Mathematical Research with Applications》2012年第5期554-560,共7页Bahmann YOUSEFI 
In this paper, we characterize conditions under which a tuple of bounded linear operators is topologically mixing. Also, we give conditions for a tuple to be hereditarily hypercyclic with respect to a tuple of syndeti...
关键词：TUPLE hypercyclic vector topologically mixing thick set hypercylicity criterion hereditarily hypercyclic syndetic sequence. 
Crystal算子的Hypercyclicity
《黑龙江大学自然科学学报》2011年第1期14-16,21,共4页徐新军 葛斌 王春梅 
哈尔滨工程大学基础研究基金资助项目(002110260740;002110260742)
称复可分Banach空间上的算子T是Crystal算子,如果T在其任意非零不变子空间上的限制相似于T。对于某个x∈X,称T是超循环的(Hypercyclic),若{x,Tx,T2x,…,Tnx,…}=X;若∨{Tnx:n≥0}=X,则称T是循环的;称T是严格循环的,如果存在x∈X使得A(T)...
关键词：Crystal算子 循环算子 HYPERCYCLIC Cowen—Douglas算子 
On the Supercyclicity and Hypercyclicity of the Operator Algebra被引量：3
《Acta Mathematica Sinica,English Series》2008年第7期1221-1232,共12页B.YOUSEFI H.REZAEI 
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...
关键词：operator algebra ＊-strong topology strong operator topology hypercyclicity criterion supercyclicity criterion 
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