کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4623987 | 1339529 | 2006 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Derivations of CDC algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A CDC algebra is a reflexive operator algebra whose lattice is completely distributive and commutative. Nearly twenty years ago, Gilfeather and Moore obtained a necessary and sufficient condition for an isomorphism between CDC algebras to be quasi-spatial. In this paper, we give a necessary and sufficient condition for a derivation δ of CDC algebras to be quasi-spatial. Namely, δ is quasi-spatial if and only if δ(R) maps the kernel of R into the range of R for each finite rank operator R. Some examples are presented to show the sharpness of the condition. We also establish a sufficient condition on the lattice that guarantees that every derivation is quasi-spatial.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 1, 1 November 2006, Pages 179-189
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 1, 1 November 2006, Pages 179-189