Scholarlink

<p>We begin for the first time to study stability of isometries in non-locally convex linear metric spaces. We approximate <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\varepsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> </InlineEquation>–isometries of bounded domains in <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\ell _p^n\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>ℓ</mi> <mi>p</mi> <mi>n</mi> </msubsup> </math></EquationSource> </InlineEquation> <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\((0&lt;p&lt; 1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>0</mn> <mo>&lt;</mo> <mi>p</mi> <mo>&lt;</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> and in <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(s_n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>s</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation> by linear isometries.</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

\(\varepsilon \)–isometries of bounded domains in certain linear metric spaces

  • 期刊论文

  • 发表日期：

    2025年8月13日

查看全文
  • Igor A. Vestfrid

摘要

We begin for the first time to study stability of isometries in non-locally convex linear metric spaces. We approximate \(\varepsilon \) ε –isometries of bounded domains in \(\ell _p^n\) ℓ p n \((0<p< 1)\) ( 0 < p < 1 ) and in \(s_n\) s n by linear isometries.