Scholarlink

<p>In this article, we characterize the left symmetric points in <i>C</i>(<i>K</i>,&#xa0;<i>X</i>), where <i>K</i> is a compact Hausdorff space and <i>X</i> is a Banach space. We also provide necessary and sufficient conditions for the right symmetric points in <i>C</i>(<i>K</i>,&#xa0;<i>X</i>). Further, we identify the smooth points in the space <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C_0(K,X)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>C</mi> <mn>0</mn> </msub> <mrow> <mo stretchy="false">(</mo> <mi>K</mi> <mo>,</mo> <mi>X</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>, <i>K</i> being locally compact Hausdorff space and <i>X</i> being a Banach space.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Local symmetry and smoothness in the space of vector-valued continuous functions

  • 期刊论文

  • 发表日期：

    2026年3月16日

查看全文
  • Mohit,
  • Ranjana Jain

摘要

In this article, we characterize the left symmetric points in C(K, X), where K is a compact Hausdorff space and X is a Banach space. We also provide necessary and sufficient conditions for the right symmetric points in C(K, X). Further, we identify the smooth points in the space \(C_0(K,X)\) C 0 ( K , X ) , K being locally compact Hausdorff space and X being a Banach space.