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http://dx.doi.org/10.4134/BKMS.2003.40.4.583

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.4, 2003 , pp. 583-591 More about this Journal
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).
Keywords
weighted composition operator; essential norm; Hyers-Ulam stability; closed range;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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