کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599880 | 1336826 | 2013 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Jordan triple endomorphisms and isometries of unitary groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper we present the general form of all continuous endomorphisms of the group Un of nÃn complex unitary matrices with respect to the Jordan triple product. These are the continuous maps Ï:UnâUn which satisfyÏ(VWV)=Ï(V)Ï(W)Ï(V),V,WâUn. The result is applied to determine the structure of certain isometries of Un. These include the isometries relative to any metric given by a unitarily invariant norm on the space Mn of all nÃn complex matrices and also the isometries relative to any member of a new class of metrics on Un recently introduced by Chau, Li, Poon and Sze [6].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 439, Issue 11, 1 December 2013, Pages 3518-3531
Journal: Linear Algebra and its Applications - Volume 439, Issue 11, 1 December 2013, Pages 3518-3531
نویسندگان
Lajos Molnár,