𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weakly sequentially complete Fréchet spaces of integrable functions

✍ Scribed by Antonio Fernández; Fernando Mayoral; Francisco Naranjo; Pedro J. Paúl


Publisher
Springer
Year
1998
Tongue
English
Weight
155 KB
Volume
71
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Entire Functions of Bounded Type on Fréc
✍ Pablo Galindo; Domingo García; Manuel Maestre 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 844 KB

We show that holomorphic mappings of bounded type defined on Frechet spaces extend to the bidual. The relationship between holomorphic mappings of bounded type and of uniformly bounded type is discussed and some algebraic and topological properties of the space of all entire mappings of (uniformly)

Solvability of infinite systems of singu
✍ Leszek Olszowy 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 290 KB

The aim of this paper is to show how some measures of noncompactness in the Fréchet space of continuous functions defined on an unbounded interval can be applied to an infinite system of singular integral equations. The results obtained generalize and improve several ones.

Fréchet Spaces of Holomorphic Functions
✍ Manuel Valdivia 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 464 KB

Let X be a Banach space. Let ?i,.(X\*) the M e t space whose elements are the holomorphic functions defined on X\* whose restrictions to each multiple mB(X\*), m = 1,2, . . . , of the closed unit ball B ( X \* ) of X\* are continuous for the weak-star topology. A fundamental Hystem of norms for this

Generic Fréchet Differentiability of Con
✍ Cheng Lixin; Shi Shuzhong; E.S. Lee 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 204 KB

Let f be a continuous convex function on a Banach space E. This paper shows that every proper convex function g on E with g F f is generically Frechet differentiable if and only if the image of the subdifferential map Ѩ f of f has the Radon᎐Nikodym property, and in this case it is equivalent to show