Bull. Korean Math. Soc. 2003; 40(4): 583-591
Printed December 1, 2003
Copyright © The Korean Mathematical Society.
Hiroyuki Takagi, Takeshi Miura, and Sin-Ei Takahasi
Shinshu University, Yamagata University, Yamagata University
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 $\varphi ( \{ x \in X : |u(x)| \geq r \} )$ ($r > 0$).
Keywords: weighted composition operator, essential norm, Hyers-Ulam stability, closed range
MSC numbers: 47B33, 34K20
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