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Zeros of operators in Banach spaces

โœ Scribed by Jong-Shenq Guo; Jen-Chih Yao

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
220 KB
Volume
5
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES

Zeros and mapping theorems for perturbat
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โœ R.P. Agarwal; Haiyun Zhou; Yeol Je Cho; Shin Min Kang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 401 KB

Let X be a real Banach space and T : D(T) C X --\\* 2 X be an m-accretive operator. Let C : D(T) C X --~ X be a bounded operator (not necessarily continuous) such that C(T -+-i)-1 is compact. Suppose that for every x โ€ข D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then

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It is shown that a zero of an m-aceretive operator \(T: D(T) \subset X \rightarrow 2^{x}\), in a general Banach space \(X\), can be approximated via methods of lines for associated evolution equations. Results of Browder for (single-valued) locally defined continuous accretive operators \(T\) in spa