PRESERVERS

作品数：5被引量：0H指数：0
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相关领域：理学更多>>
相关期刊：《Journal of Mathematical Research with Applications》《Chinese Quarterly Journal of Mathematics》《Acta Mathematica Sinica,English Series》更多>>
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Additive Maps Preserving Nilpotent Perturbation of Scalars
《Acta Mathematica Sinica,English Series》2019年第3期407-426,共20页Ting ZHANG Jin Chuan HOU 
Supported by Natural Science Foundation of China(Grant No.11671294)
Let X be a Banach space over F(= R or C) with dimension greater than 2. Let N(X) be the set of all nilpotent operators and B_0(X) the set spanned by N(X). We give a structure result to the additive maps on FI + B_0(X)...
关键词：BANACH SPACES NILPOTENT operators PERTURBATIONS additive PRESERVERS 
Ring Isomorphisms and Complete Preservers of Fixed Points for Multipliers
《Journal of Mathematical Research with Applications》2019年第1期89-100,共12页Ting ZHANG Jinchuan HOU 
Supported by the National Natural Science Foundation of China(Grant No.11671294)
Let R_1 and R_2 be two rings with unit I. We give some characterizations of ring homomorphisms and ring isomorphisms between R_1 and R_2 in term of complete preservers of fixed points of multipliers, under some mild a...
关键词：COMPLETE PRESERVER problem BANACH algebra RING isomorphism operator on BANACH space 
Strong 3-Commutativity Preserving Maps on Standard Operator Algebras
《Acta Mathematica Sinica,English Series》2017年第12期1659-1670,共12页Mei Yun LIU Jin Chuan HOU 
Supported by Natural Science Foundation of China(Grant No.11671294)
Let X be a Banach space of dimension ≥ 2 over the real or complex field F and A a standard operator algebra in B（X）. A map Ф ： A→A is said to be strong 3-commutativity preserving if [Ф（A）, Ф（B）]a = [A, B]3...
关键词：3-commutators standard operator algebras Banach spaces PRESERVERS 
Maps Preserving Commutativity up to a Factor on Standard Operator Algebras
《Journal of Mathematical Research with Applications》2013年第6期708-716,共9页Meiyan JIAO 
Supported by the National Natural Science Foundation of China (Grant No.111101250);Innovative Research Team,Department of Applied Mathematics,Shanxi University of Finance & Economics
Let X, Y be real or complex Banach spaces with dimension greater than 2 and A, B be standard operator algebras on X and Y, respectively. Let φ ：A →B be a unital surjective map. In this paper, we characterize the m...
关键词：PRESERVERS standard operator algebras commutativity up to a factor. 
Additive Rank-1 Preservers Between Hermitian Matrix Spaces Over Quaternion Division Algebra
《Chinese Quarterly Journal of Mathematics》2007年第4期482-491,共10页HAN Jing-wen ZHENG Bao-dong 
Supported by NSF of China(10571033)
Let Q be the quaternion division algebra over real field F, Denote by Hn（Q） the set of all n x n hermitian matrices over Q. We characterize the additive maps from Hn（Q） into Hm（Q） that preserve rank-1 matrices w...
关键词：additive map quaternion division algebra Hermitian matrix RANK 
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