Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ESSENTIAL NORMS AND STABILITY CONSTANTS OF WEIGHTED COMPOSITION OPERATORS ON C(X)

  • Takagi, Hiroyuki (Department of Mathematical Sciences, Faculty of Science, Shinshu University) ;
  • Miura, Takeshi (Department of Basic Technology, Applied Mathematics and Physics, Yamagata University) ;
  • Takahasi, Sin-Ei (Department of Basic Technology, Applied Mathematics and Physics, Yamagata University)
  • Published : 2003.11.01
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Abstract

For a weighted composition operator $uC_{\varphi}$ on C(X), we determine its essential norm and the constant for its Hyers-Ulam stability, in terms of the set $\varphi(\{x\;\in\;X\;:\;$\mid$u(x)$\mid$\;\geq\;r\})$ (r > 0).

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References

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