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Isomorphisms in quasi-banach algebrasopen access
- Authors
- Park, Choonkil; An, Jong Su
- Issue Date
- Feb-2008
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Cauchy-Jensen functional equation; isomorphism; isometry derivation; quasi-Banach algebra
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.45, no.1, pp.111 - 118
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 45
- Number
- 1
- Start Page
- 111
- End Page
- 118
- ISSN
- 1015-8634
- Abstract
- Using the Hyers-Ulam-Rassias stability method, we investigate isomorphisms in quasi-Banach algebras and derivations on quasi-Banach algebras associated with the Cauchy-Jensen functional equation 2f(x+y/2 +2)=f(x)+f(y)+2f(z), which was introduced and investigated in [2, 17]. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias' stability theorem that appeared in the paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. Furthermore, isometries and isometric isomorphisms in quasi-Banach algebras are studied.
- Appears in
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)