Implicit Gamma Theorems (I): Pseudoroots and Pseudospectra

被引：0

作者：

机构：

[1] MIP,

[2] Département de Mathématique Université Paul Sabatier 31062 Toulouse Cedex 04,undefined

[3] France dedieu@mip.ups-tlse.fr,undefined

[4] Department of Mathematics SUNY at Old Westbury Old Westbury,undefined

[5] NY 11568-0210,undefined

[6] USA kimm@oldwestbury.edu,undefined

[7] IBM T. J. Watson Research Center PO Box 218 Yorktown Heights,undefined

[8] NY 10532,undefined

[9] USA mshub@us.ibm.com,undefined

[10] Department of Mathematics University of Manchester Manchester M13 9PL,undefined

[11] England ftisseur@ma.man.ac.uk,undefined

来源：

Foundations of Computational Mathematics | 2003年 / 3卷

关键词：

AMS Classification. 65F15, 65H10, 65Y20.;

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摘要：

Abstract. Let g : E → F be an analytic function between two Hilbert spaces E and F. We study the set g(B(x, ε)) ⊂ E, the image under g of the closed ball about x∈E with radius ε . When g(x) expresses the solution of an equation depending on x , then the elements of g(B(x,ε )) are ε -pseudosolutions. Our aim is to investigate the size of the set g(B(x,ε )) . We derive upper and lower bounds of the following form:

引用

页码：1 / 31

页数：30

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