کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418648 1339345 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algebraic reflexivity of isometry groups and automorphism groups of some operator structures
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Algebraic reflexivity of isometry groups and automorphism groups of some operator structures
چکیده انگلیسی
We establish the algebraic reflexivity of three isometry groups of operator structures: the group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with the Thompson metric, and the group of all surjective isometries on the general linear group of B(H), the operator algebra over a complex infinite dimensional separable Hilbert space H. We show that those isometry groups coincide with certain groups of automorphisms of corresponding structures and hence we also obtain the reflexivity of some automorphism groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 408, Issue 1, 1 December 2013, Pages 177-195
نویسندگان
, , ,