کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615551 1339321 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Admissible fundamental operators
ترجمه فارسی عنوان
اپراتورهای اساسی قابل قبول
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
Let F and G be two bounded operators on two Hilbert spaces. Let their numerical radii be no greater than one. This note investigates when there is a Γ-contraction (S,P) such that F is the fundamental operator of (S,P) and G is the fundamental operator of (S⁎,P⁎). Theorem 1 puts a necessary condition on F and G for them to be the fundamental operators of (S,P) and (S⁎,P⁎) respectively. Theorem 2 shows that this necessary condition is also sufficient provided we restrict our attention to a certain special case. The general case is investigated in Theorem 3. Some of the results obtained for Γ-contractions are then applied to tetrablock contractions to figure out when two pairs (F1,F2) and (G1,G2) acting on two Hilbert spaces can be fundamental operators of a tetrablock contraction (A,B,P) and its adjoint (A⁎,B⁎,P⁎) respectively. This is the content of Theorem 3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 425, Issue 2, 15 May 2015, Pages 983-1003
نویسندگان
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