On the property $({\rm LB}\sp \infty)$ of spaces of germs of holomorphic functions and the properties $(\tilde\Omega,\overline\Omega)$ of the Hartogs domains in infinite dimension
http://link.springer.com/journal/volumesAndIssues/40306Publisher, magazine: ,
Publication year: 2000
Lưu Trích dẫn Chia sẻAbstract
The aim of this paper is to establish the property $({\rm LB}\sp \infty)$ on [H(k_{\varepsilon })]0 under the assumption that E is a Frechet space with an absolute basis and Kε is a balanced convex compact subset of E. At the same time, the properties $(\tilde\Omega,\overline\Omega)$ for the Hartogs domains associated to an open polydisc in a nuclear Frechet space with a basis will be also proved.
Tags: Fréchet space of all germs of holomorphic functions; Hartogs domain; Fréchet space with basis
Các bài viết liên quan đến tác giả Lê Mậu Hải
On the weak tautness and the locally weak tautness of a domain in a banach space
Hartogs spaces, spaces having the Forelli property and Hartogs holomorphic extension spaces
The weighted relative extremal functions and weighted capacity
Weak tautness and hyperconvexity in Hilbert spaces
Normality of a family of Banach-valued holomorphic maps
An algebraic condition of an irreducible variety in $\Bbb C\sp {n}$