대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제44권2호
  • /
  • Pages.309-313
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  • 2007
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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CUBIC OPERATOR NORM ON Xλ SPACE

  • Jung, Soon-Mo (COLLEGE OF SCIENCE AND TECHNOLOGY HONG-IK UNIVERSITY)
  • 발행 : 2007.05.31
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초록

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 $X_{\lambda}$.

키워드

참고문헌

  1. S. Czerwik, Functional equations and inequalities in several variables, World Scientific Publishing Co., Inc., River Edge, NJ, 2002
  2. S. Czerwik and K. Dlutek, Cauchy and Pexider operators in some function spaces, Functional equations, inequalities and applications, 11-19, Kluwer Acad. Publ., Dordrecht, 2003
  3. K.-W. Jun and H.-M. Kim, The generalized Hyers-Ulam-Rassias stability of a cubic functional equation, J. Math. Anal. Appl. 274 (2002), 867-878 https://doi.org/10.1016/S0022-247X(02)00415-8
  4. S.-M. Jung and T.-S. Kim, A fixed point approach to the stability of cubic functional equation, Boletin de la Sociedad Matematica Mexicana 12 (2006), 51-57
  5. M. S. Moslehian, T. Riedel, and A. Saadatpour, Norms of operators in X¸ spaces, Appl. Math. Lett. (2007), doi:10.1016/j.aml.2006.11.009

피인용 문헌

  1. Pexider type operators and their norms in X λ spaces vol.59, pp.4, 2009, https://doi.org/10.1007/s10587-009-0076-5