Derivations on ternary rings of operators

التفاصيل البيبلوغرافية
العنوان: Derivations on ternary rings of operators
المؤلفون: Pluta, Robert, Russo, Bernard
سنة النشر: 2017
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Operator Algebras, Mathematics - Functional Analysis, 46L57 (Primary), 17C65 (Secondary)
الوصف: To each projection $p$ in a $C^*$-algebra $A$ we associate a family of derivations on $A$, called $p$-derivations, and relate them to the space of triple derivations on $p A (1-p)$. We then show that every derivation on a ternary ring of operators is spatial and we investigate whether every such derivation on a weakly closed ternary ring of operators is inner.
Comment: 16 pages, accepted to Operators and Matrices
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1712.03436
رقم الأكسشن: edsarx.1712.03436
قاعدة البيانات: arXiv