Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 박춘길 | - |
dc.contributor.author | 파오칸타시리룩 | - |
dc.date.accessioned | 2023-05-11T12:03:55Z | - |
dc.date.available | 2023-05-11T12:03:55Z | - |
dc.date.issued | 2023. 2 | - |
dc.identifier.uri | http://hanyang.dcollection.net/common/orgView/200000649747 | en_US |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/180127 | - |
dc.description.abstract | In this dissertation, to prove the Hyers-Ulam stability of a bi-additive functional equation in Banach algebras, the bi-additive functional equation: f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)=4f(x,z) is introduced by utilizing both direct method and fixed point method. Additionally, the conditions of the proposed bi-additive functional equation are adjusted to develop C*-algebra bi-homomorphisms and C*-algebra bi-derivations to further prove the Hyers-Ulam stability in unital C*-algebras. The proofs also implement both direct method and fixed point method.|본 논문에서는 바나흐 대수에서 쌍가법 함수 방정식의 Hyers-Ulam 안정성을 증명한다. 쌍가법 함수 방정식: f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)=4f(x,z) 는 직접점과 고정점 방법을 이용해서 소개한다. 추가적으로, 제안된 쌍가법 함수 방정식의 조건들은 단위원이 있는 C*-대수에서 Hyers-Ulam 안정성을 증명하기 위해서 C*-대수 쌍준동형사상과 -쌍미분을 발전시키기 위해 만든다. 증명은 직접점과 고정점 방법을 시행한다. | - |
dc.publisher | 한양대학교 | - |
dc.title | Stabilty of bi-derivations and bi-homomorphisms in Banach algebras and C*-algebras | - |
dc.type | Theses | - |
dc.contributor.googleauthor | 파오칸타시리룩 | - |
dc.sector.campus | S | - |
dc.sector.daehak | 대학원 | - |
dc.sector.department | 수학과 | - |
dc.description.degree | Doctor | - |
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