سال انتشار: ۱۳۸۶

محل انتشار: سی و هشتمین کنفرانس ریاضی ایران

تعداد صفحات: ۳

نویسنده(ها):

MADJID MIRZAVAZIRI – Department of mathematics, Ferdowsi University, mashhad, Iran

چکیده:

Let A be a C*-algebra, D be a dense subalgebra of A and σ :D→ A be a linear mapping. A linear mapping d:D→ A is called a σ-derivation if d(ab) = d(a) σ (b) + σ (a) d (b) for all a,s Є D. In this paper we characterize all σ-derivations of C[0,1] in terms of the functions d(z), σ(z) and σ(z2), where zn denotes the function t Є [a,b] → tn Є C. we also characterize all linear meppings σ which possesses a σ-derivation d with d(z)(t) ≠ ۰ for all t Є [۰,۱].