An infinite-dimensional version of the Borsuk-Ulam theorem

被引：0
|
作者：
B. D. Gel’man
机构：
[1] Voronezh State University,
来源：
Functional Analysis and Its Applications | 2004年 / 38卷
关键词：
closed surjective operator; compact map; operator equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the solvability of the equation a(x) = f(x) on a sphere in a Banach space, where a is a closed surjective linear operator and f is an odd a-compact map. We also estimate the topological dimension of the solution set and give applications of the corresponding theorem to some problems in differential equations and other fields of mathematics.
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页码：239 / 242
页数：3
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