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Deanship of Graduate Studies
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 Type
Dr Grade
Email
أمجاد صالح الغامدي
Al-Ghamdi, Amjad Saleh
Researcher
Master
Files
File Name
Type
Description
33498.pdf
pdf
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