호남수학학술지 (Honam Mathematical Journal)

  • 제27권4호
  • /
  • Pages.631-639
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  • 2005
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

ISOMETRIES ON THE SPACE OF CONTINUOUS FUNCTIONS WITH FINITE CODIMENSIONAL RANGE

  • HEDAYATIAN, K. (Department of Mathematics Shiraz University)
  • 투고 : 2005.08.02
  • 심사 : 2005.09.30
  • 발행 : 2005.12.25
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초록

For compact Hausdorff spaces X and Y let C(X) and C(Y) denote the complex Banach spaces of complex valued continuous functions on X and Y, respectively. Also let $T:C(X){\rightarrow}C(Y)$ be a linear isomerty. Necessary and sufficient conditions are given such that range of T has finite codimension.

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과제정보

연구 과제 주관 기관 : Shiraz University

참고문헌

  1. Monatshefte fur Mathematik v.134 Isometric shifts and metric spaces Araujo, J.;Font, J.J.
  2. J. Funct. Anal. v.101 Shift operators on Banach spaes Gutek, A.;Hart, D.;Jamison, J.;Rajagopalan, M.
  3. Studia Math. v.26 Continuous mapping induced by isometries of spaces of contimuous functions Holsztynski, H.
  4. Topology, A First Course Munkres, J.R.