کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418824 1339362 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The predual of the space of decomposable maps from a C∗-algebra into a von Neumann algebra
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The predual of the space of decomposable maps from a C∗-algebra into a von Neumann algebra
چکیده انگلیسی

For a C∗-algebra A and a von Neumann algebra R, we describe the predual of space D(A,R) of decomposable maps from A into R equipped with decomposable norm. This predual is found to be the matrix regular operator space structure on A⊗R∗ with a certain universal property. Its matrix norms are the largest and its positive cones on each matrix level are the smallest among all possible matrix regular operator space structures on A⊗R∗ under the two natural restrictions: (1) ‖x⊗y‖≤‖x‖‖y‖ for x∈Mk(A),y∈Ml(R∗) and (2) v⊗w is positive if v∈Mk(A)+ and w∈Ml(R∗)+.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 2, 15 June 2013, Pages 463-476
نویسندگان
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