Tensor Representation of Spaces of Holomorphic Functions and Applications

被引：0

作者：

Thai Thuan Quang ^{[1
]}

Duong Quoc Huy ^{[2
]}

Duong Thanh Vy ^{[1
]}

机构：

[1] Quy Nhon Univ, Dept Math, Binh Dinh, Vietnam

[2] Tay Nguyen Univ, Dept Nat Sci & Technol, Dak Lak, Vietnam

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 03期

关键词：

Infinite-dimensional holomorphy; Topological tensor products; Frechet spaces and (DF)-spaces; TOPOLOGIES;

D O I：

10.1007/s11785-016-0547-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the tensor representation of spaces of Fr,chet-valued holomorphic functions in the form where U is an open subset of a Fr,chet space and Using this result we consider the following problems: exponential laws for the topologies on the space where U and V are two open subsets of locally convex spaces E and F respectively; the coincidence of the topologies on spaces of locally convex valued holomorphic functions (resp. germs) H(U, F) [resp. H(K, F)]; the inheritance of the properties (QNo), via the spaces of holomorphic functions and of holomorphic germs.

引用

页码：611 / 626

页数：16

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