DOI QR코드

DOI QR Code

ESSENTIAL NORMS AND STABILITY CONSTANTS OF WEIGHTED COMPOSITION OPERATORS ON C(X)

  • Takagi, Hiroyuki ;
  • Miura, Takeshi ;
  • Takahasi, Sin-Ei
  • Published : 2003.11.01

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

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