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Banach–Stone Theorems for maps preserving common zeros

✍ Scribed by Denny H. Leung; Wee-Kee Tang


Publisher
Springer
Year
2009
Tongue
English
Weight
294 KB
Volume
14
Category
Article
ISSN
1385-1292

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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 • D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then