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Quadratic derivations on non-Archimedean Banach algebras

Authors
Park, ChoonkilShagholi, SaeidJavadian, AbbasSavadkouhi, Meysam BavandGordji, Madjid Eshaghi
Issue Date
Apr-2014
Publisher
EUDOXUS PRESS, LLC
Keywords
non-Archimedean Banach algebra; non-Archimedean Banach module; quadratic functional equation; Hyers-Ulana stability
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.16, no.3, pp.565 - 570
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
Volume
16
Number
3
Start Page
565
End Page
570
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/160260
ISSN
1521-1398
Abstract
Let A be an algebra and X be an A-module. A quadratic mapping D : A X is called a quadratic derivation if D(ab) = D(a)b(2) + a(2) D(b) for all a(1), a(2) is an element of A. We investigate the Hyers-Ulam stability of quadratic derivations from a non-Archimedean Banach algebra A into a non-Archimedean Banach A-module.
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