Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2007; 44(2): 309-313

Printed June 1, 2007

Copyright © The Korean Mathematical Society.

Cubic operator norm on $X_\lambda$ space

Soon-Mo Jung

Hong-Ik University

Abstract

By applying ideas from [M. S. Moslehian, et al., Norms of operators in $X_{\lambda}$ spaces, Appl. Math. Lett. (2007), doi:10.1016/j.aml.2006. 11.009], we investigate the norm of the cubic operator on the function space $X_\lambda$.

Keywords: cubic functional equation, cubic operator, operator norm, $X_\lambda$ space

MSC numbers: Primary 47A30, 47B38; Secondary 39B52