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Multi-quadratic mappings in Banach spaces

Author(s): Chun-Gil Park
Journal: Proc. Amer. Math. Soc. 131 (2003), 2501-2504.
MSC (2000): Primary 47B48, 39B72
Posted: November 13, 2002
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Abstract: We prove the stability of multi-quadratic functional equations in Banach spaces.

References:

1.: C. Park, Multilinear mappings in Banach modules over a $C^{*}$ -algebra, preprint.
2.: Th.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. MR 80d:47094

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Additional Information:

Chun-Gil Park
Affiliation: Department of Mathematics, Chungnam National University, DaeJeon 305-764, South Korea
Email: cgpark@math.cnu.ac.kr

DOI: 10.1090/S0002-9939-02-06886-7
PII: S 0002-9939(02)06886-7
Keywords: Banach space, stability, multi-quadratic functional equation
Received by editor(s): March 22, 2002
Posted: 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 of article: Copyright 2002, American Mathematical Society


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