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A nonlinear Hille-Yosida theorem in Banach spaces

✍ Scribed by Simeon Reich


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
264 KB
Volume
84
Category
Article
ISSN
0022-247X

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On Osgood theorem in Banach spaces
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## Abstract Let __X__ be a real Banach space, __Ο‰__ : [0, +∞) β†’ ℝ be an increasing continuous function such that __Ο‰__(0) = 0 and __Ο‰__(__t__ + __s__) ≀ __Ο‰__(__t__) + __Ο‰__(__s__) for all __t__, __s__ ∈ [0, +∞). According to the infinite dimensional analog of the Osgood theorem if ∫^1^~0~ (__Ο‰__(_