Differential calculus on multiple products

被引：7

作者：

Alzaareer, Hamza ^{[1
]}

机构：

[1] Al Zaytoonah Univ Jordan, Math Dept, Queen Alia Airport St 594, Amman 11733, Jordan

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2019年 / 30卷 / 06期

关键词：

Differential calculus; Generalized differential calculus; Differentiation theory; Locally convex spaces; Infinite-dimensional manifolds; k-space; Metrizability; Smooth compact-open topology; Evaluation map; Exponential law; Function space;

D O I：

10.1016/j.indag.2019.07.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduced the calculus of mappings on finite product of spaces, allowing different degrees of differentiability in the different factors. This enables us to prove an important feature in the infinite-dimensional Lie theory, the exponential law in generalized setting for locally convex spaces and for manifolds modelled on locally convex spaces. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：1036 / 1060

页数：25

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