論文

査読有り
2010年11月

CONTINUOUS LINEAR EXTENSION OF FUNCTIONS

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • A. Koyama
  • ,
  • I. Stasyuk
  • ,
  • E. D. Tymchatyn
  • ,
  • A. Zagorodnyuk

138
11
開始ページ
4149
終了ページ
4155
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
AMER MATHEMATICAL SOC

Let (X, d) be a complete metric space. We prove that there is a continuous, linear, regular extension operator from the space C*(b) of all partial, continuous, real-valued, bounded functions with closed, bounded domains in X to the space C*(X) of all continuous, bounded, real-valued functions on X with the topology of uniform convergence on compact sets. This is a variant of a result of Kunzi and Shapiro for continuous functions with compact, variable domains.

Web of Science ® 被引用回数 : 3

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Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000284022300038&DestApp=WOS_CPL

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