C-SEMIGROUPS

作品数：14被引量：16H指数：2
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相关期刊：《Analysis in Theory and Applications》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Science Bulletin》更多>>
相关基金：国家自然科学基金山西省自然科学基金更多>>
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Entire vectors for unbounded normal operators and abstract Cauchy problems
《Chinese Science Bulletin》1997年第15期1253-1256,共4页LI YangrongDepartment of Mathematics, Southwest Normal University, Chongqing 630715, China 
LET A be a closed operator on a Banach space X, and C~∞ (A)=∩_n~∞=1,D(A^n). The C~∞ vec-tor x is an entire vector for A if sum from n=0 to ∞ (t^n)/(n!)||A^n x||<∞ (1)for all t>0. We will write ε(A) for th...
关键词：C-SEMIGROUPS ANALYTIC SEMIGROUPS normal OPERATORS entire vectors. 
The generators of exponentially bounded C-semigroups and theHille-Yosida spaces
《Chinese Science Bulletin》1996年第23期2021-2022,共2页姚景齐 
supported by the National Natural Science Foundation of China.
Let（X,||·||）be a Banach space and let C be an injective bounded linear operator inX.A strongly continuous family of bounded linear operators{S（t）;t≥0}is called anexponentially bounded C-semigroup（hereinafter ab...
关键词：The generators of exponentially bounded C-semigroups and theHille-Yosida spaces 
Structure of the weakly left C-semigroups被引量：4
《Chinese Science Bulletin》1996年第6期462-467,共6页郭聿琦 
Project supported by the National Natural Science Foundation of China.
Left (right) C-semigroups are the regular semigroups satisfying the following condition:eSSe (SeeS) for every e∈E (the set of idempotents of S). Refs. [1, 2] give the left(right) semi-spined product structure and the...
关键词：LEFT (weakly left) C-SEMIGROUPS quasi-C-semigroups LEFT Δ-(right Δ- Δ-) PRODUCT spined product. 
A Perturbation Theorem for Exponentially Bounded C-semigroups
《Chinese Science Bulletin》1994年第21期1770-1773,共4页姚景齐 
Project supported by the National Natural Science Foundation of China.
Let (X;‖ ‖) be a Banach space. By B(X) we denote the set of all bounded linear operators in X. Let C∈B(X) be injective.A strongly continuous family of bounded operators {S(t); t≥0} is called an exponentially bound...
关键词：EXPONENTIALLY bounded·C-semigroup CO-SEMIGROUP PERTURBATION for semigroup. 
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