Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2016-08-03T02:22:12Z | - |
dc.date.available | 2016-08-03T02:22:12Z | - |
dc.date.issued | 2015-02 | - |
dc.identifier.citation | RESULTS IN MATHEMATICS, v. 67, Issue 1, Page. 197-205 | en_US |
dc.identifier.issn | 1422-6383 | - |
dc.identifier.issn | 1420-9012 | - |
dc.identifier.uri | http://link.springer.com/article/10.1007%2Fs00025-014-0404-4 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/22356 | - |
dc.description.abstract | The aim of this paper is to prove the superstability of the following functional equations f(x+y/m)(m) = g(x)h(y), where f,g,h : V-2 -˃ A are unknown mappings and m is a fixed positive integer. Here V is a vector space, and A is a unital normed algebra. Furthermore, we prove the superstability of the following generalized Pexider exponential equation f(x+y/r)(r) = g(x)h(y), where f, g, h : V-2 -˃ I(A) boolean AND A(+) are unknown mappings and r is a fixed nonzero rational number. Here V is a vector space, I(A) is the set of all invertible elements in a commutative unital C*-algebra A and A(+) is the positive cone of A. | en_US |
dc.description.sponsorship | National Research Foundation of Korea - Ministry of Education, Science and Technology | en_US |
dc.language.iso | en | en_US |
dc.publisher | SPRINGER BASEL AG | en_US |
dc.subject | Hyers-Ulam stability | en_US |
dc.subject | superstability | en_US |
dc.subject | C*-Algebra | en_US |
dc.subject | generalized Pexider exponential equation | en_US |
dc.title | Superstability of an Exponential Equation in C*-Algebras | en_US |
dc.type | Article | en_US |
dc.relation.no | 1-2 | - |
dc.relation.volume | 67 | - |
dc.identifier.doi | 10.1007/s00025-014-0404-4 | - |
dc.relation.page | 197-205 | - |
dc.relation.journal | RESULTS IN MATHEMATICS | - |
dc.contributor.googleauthor | Kim, Gwang Hui | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.relation.code | 2015012224 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | baak | - |
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