✦ LIBER ✦

Peano's theorem in Banach spaces

✍ Scribed by A. N. Godunov

Publisher: Springer US
Year: 1975
Tongue: English
Weight: 155 KB
Volume: 9
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01078180

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Sternberg's theorem for Banach spaces

✍ G. R. Belitskii 📂 Article 📅 1985 🏛 Springer US 🌐 English ⚖ 156 KB

Peano's theorem fails for infinite-dimen

Peano's theorem fails for infinite-dimensional Fréchet spaces

✍ S. A. Shkarin 📂 Article 📅 1993 🏛 Springer US 🌐 English ⚖ 244 KB

On the peano theorem in infinite-dimensi

On the peano theorem in infinite-dimensional spaces

✍ M. I. Kamenskii 📂 Article 📅 1972 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 268 KB

A Hahn-Banach theorem in conjugate Banac

A Hahn-Banach theorem in conjugate Banach spaces

✍ Bernd Müller 📂 Article 📅 1977 🏛 Springer-Verlag 🌐 French ⚖ 616 KB

On Rolle's theorem in infinite-dimension

On Rolle's theorem in infinite-dimensional Banach spaces

✍ S. A. Shkarin 📂 Article 📅 1992 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 480 KB

On Osgood theorem in Banach spaces

✍ Stanislav Shkarin 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 165 KB 👁 1 views

## 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__(_