Document Details

Document Type : Thesis 
Document Title :
On isomorphism in C*-ternary algebras for a Cauchy- Jensen functional equations
عن التماثل في جبر C* الثلاثي لمعادلة كوشي
 
Subject : mathematics department 
Document Language : Arabic 
Abstract : In this thesis we investigate isomorphisms between C*-ternary algebras by proving the Hyers-Ulam-Rassias stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for Cauchy-Jensen additive mapping. In 1940, S.M. Ulam discussed a number of unsolved problems. One of this problem was to look for situations when the homomorphisms are stable, i.e., if a mapping is almost a homomorphism, then there exists a true homomorphism near it. In 1941, D.H. Hyers considered the case of approximately additive mappings f:E→E′, where E and E′ are Banach spaces and f satisfies Hyers inequality. The concept of Hyers-Ulam-Rassias stability originated from the Themistocles M. Rassias' stability theorem that appeared in his paper in 1978. He provided a generalization of Hyers' Theorem which allows the Cauchy difference to be unbounded. In 1991, Z. Gajda provided a Themistocles M. Rassias theorem for p>1. Also it was shown by Z.Gajda as well as by Themistocles M.Rassias and P.Šemrl that one cannot prove a Themistocles M.Rassias' type theorem when p=1. Choonkil Park prove the Hyers-Ulam-Rassias stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for Cauchy-Jensen additive mapping in 2006. These are applied to investigate isomorphisms between C*-ternary algebras. 
Supervisor : Prof.Fatma Kandil 
Thesis Type : Master Thesis 
Publishing Year : 1433 AH
2012 AD 
Co-Supervisor : Prof. Siham Alsayyad 
Added Date : Tuesday, June 5, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أمجاد صالح الغامديAl-Ghamdi, Amjad SalehResearcherMaster 

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