Stability of Banach spaces via nonlinear epsilon-isometries

CORC > 厦门大学 > 数学科学－已发表论文

	Stability of Banach spaces via nonlinear epsilon-isometries
	Dai, Duanxu ; Dong, Yunbai ; Dai DX(戴端旭)
刊名	http://dx.doi.org/10.1016/j.jmaa.2014.01.028
	2014-06-15
关键词	EMBEDDINGS
英文摘要	Natural Science Foundation of China [11201353]; NSF; In this paper, we prove that the existence of an epsilon-isometry from a separable Banach space X into Y (the James space or a reflexive space) implies the existence of a linear isometry from X into Y. Then we present a set valued mapping version lemma on non-surjective epsilon-isometries of Banach spaces. Using the above results, we also discuss the rotundity and smoothness of Banach spaces under the perturbation by epsilon-isometries. (C) 2014 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91329]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Dai, Duanxu,Dong, Yunbai,Dai DX. Stability of Banach spaces via nonlinear epsilon-isometries[J]. http://dx.doi.org/10.1016/j.jmaa.2014.01.028,2014.
APA	Dai, Duanxu,Dong, Yunbai,&戴端旭.(2014).Stability of Banach spaces via nonlinear epsilon-isometries.http://dx.doi.org/10.1016/j.jmaa.2014.01.028.
MLA	Dai, Duanxu,et al."Stability of Banach spaces via nonlinear epsilon-isometries".http://dx.doi.org/10.1016/j.jmaa.2014.01.028 (2014).