𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Gâteaux Differentiability of Bump Functions in Banach Spaces

✍ Scribed by R. Maleev; G. Nedev; B. Zlatanov

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
843 KB
Volume
240
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Gateaux differentiability in Orlicz–Lore
Gateaux differentiability in Orlicz–Lorentz spaces and applications
✍ Fabian E. Levis; Hector H. Cuenya 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 190 KB

## Abstract Let Λ~__w,ϕ__~ be the Orlicz–Lorentz space. We study Gateaux differentiability of the functional ψ~__w,ϕ__~ (__f__) = $ \int \_{0} ^{\infty} $ __ϕ__ (__f__ \*)__w__ and of the Luxemburg norm. More precisely, we obtain the one‐sided Gateaux derivatives in both cases and we characterize