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Sternberg's theorem for Banach spaces

✍ Scribed by G. R. Belitskii

Publisher: Springer US
Year: 1985
Tongue: English
Weight: 156 KB
Volume: 18
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01086163

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## Abstract Let __X__ be a real Banach space, __ω__ : [0, +∞) → ℝ be an increasing continuous function such that __ω__(0) = 0 and __ω__(__t__ + __s__) ≤ __ω__(__t__) + __ω__(__s__) for all __t__, __s__ ∈ [0, +∞). According to the infinite dimensional analog of the Osgood theorem if ∫^1^~0~ (__ω__(_