Document Details

Document Type : Thesis 
Document Title :
On Recent Preservers’ Problems
مشكلات حديثة على الحوافظ
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : In this thesis, we study some preservers problems in some class of Banach algebras. First, we discuss the previews studies of characterizing linear maps from C^*-algebra A into a Banach A-bimodule X which behave like derivation or anti-derivations at orthogonal elements. Second, we characterize Linear maps from a C^*-algebra A into an essential Banach A-bimodule X which behave like anti-derivations or *-anti-derivation at orthogonal elements to complete the characterization, which left open. Also, we prove a similar equivalence when X is replaced by A^(**) or when X is a dual A-bimodual. Furthermore, we present a complete characterization of those bounded linear maps from A into X or into A^(**) which are *-anti-derivable at zero. In addition, we characterize linear maps behaving like derivations or anti-derivations at orthogonal elements of a JC algebra A. Finally, we extend the concept of local derivation (respectively, weak local derivation) on an universally reversible JC-algebra A to local *-derivation (respectively, weak local *-derivation) on the universal envoloping C^*-algebra C^* (A) of A. Furthermore, we extend 2-local derivation (respectively, weak 2local derivation) on JC-algebra to local *-derivation (respectively, weak local *-derivation) on the complexification of A as a Jordan C^*-algebra. Keywords: operator algebra, C^*-algebra, Jordan algebras, JC-algebra and derivations on operator algebras 
Supervisor : Prof. Fatmah B.Jamjoom 
Thesis Type : Doctorate Thesis 
Publishing Year : 1444 AH
2023 AD 
Co-Supervisor : Dr. Wfaa A. Albar 
Added Date : Wednesday, March 15, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
ضحى عادل أبو الحمايلAbu Al-Hamayel, Doha AdelResearcherDoctorate 

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