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On the Lagrange multiplier theorem in Banach spaces

✍ Scribed by Fabio Botelho

Book ID: 120888556
Publisher: Springer-Verlag
Year: 2013
Tongue: English
Weight: 201 KB
Volume: 32
Category: Article
ISSN: 0101-8205
DOI: 10.1007/s40314-013-0018-6

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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__(_