Multi-quadratic mappings in Banach spaces
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- by Chun-Gil Park
- Proc. Amer. Math. Soc. 131 (2003), 2501-2504
- DOI: https://doi.org/10.1090/S0002-9939-02-06886-7
- Published electronically: November 13, 2002
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Abstract:
We prove the stability of multi-quadratic functional equations in Banach spaces.References
- C. Park, Multilinear mappings in Banach modules over a $C^{*}$-algebra, preprint.
- Themistocles M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), no. 2, 297–300. MR 507327, DOI 10.1090/S0002-9939-1978-0507327-1
Bibliographic Information
- Chun-Gil Park
- Affiliation: Department of Mathematics, Chungnam National University, DaeJeon 305-764, South Korea
- Email: cgpark@math.cnu.ac.kr
- Received by editor(s): March 22, 2002
- Published electronically: November 13, 2002
- Additional Notes: This work was supported by grant No. 1999-2-102-001-3 from the interdisciplinary research program year of the KOSEF
- Communicated by: Joseph A. Ball
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2501-2504
- MSC (2000): Primary 47B48, 39B72
- DOI: https://doi.org/10.1090/S0002-9939-02-06886-7
- MathSciNet review: 1974648