The generalized degree for compact perturbations of m-accretive operators and applications
β Scribed by Yong-Zhuo Chen
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 656 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 β’ D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then
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