Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ISOMETRIES ON THE SPACE OF CONTINUOUS FUNCTIONS WITH FINITE CODIMENSIONAL RANGE

  • HEDAYATIAN, K. (Department of Mathematics Shiraz University)
  • Received : 2005.08.02
  • Accepted : 2005.09.30
  • Published : 2005.12.25
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Abstract

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.

Keywords

Acknowledgement

Supported by : Shiraz University

References

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  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.