Homomorphisms and Higher Derivations on Banach-Jordan Systems : Automatic Continuity and structure of some Operators defined on Banach-Jordan Systems

ISBN-13: 9786137323977 / Angielski / Miękka / 2018 / 64 str.

Hassan Marhnine; Chafika Zarhouti

Opis

Jordan Pairs and Jordan triple systems are an extension of Jordan algebras and ternary rings. They are principal algebraic structures in Jordan Theory and nonassociative algebra. Jordan pairs arise in a natural way in the geometry of bounded symmetric domains. O. Loos proved a strong dependence between homogeneous circled domains, in finite-dimensional complex vector spaces, and Jordan pairs. Operators defined on Jordan pairs play prominent role in their study specially in the case of normed or Banach-Jordan Pairs. In this situation, the automatic continuity of these operators together with their structures in some classes of Jordan Pairs arise as an interesting problem in a branch of functional analysis.

O autorze

Dr. Hassan MARHNINE has obtained his PhD degree in Mathematics in 2000 from Abdelmalek Essaadi University Tetouan, Morocco. Professor at the Center of Higher Education and Training of Tangier. He has investigated throw different projects related to Mathematics. He is author of several research papers published in reputed Journals.