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
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
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 Î-contraction (S,P) such that F is the fundamental operator of (S,P) and G is the fundamental operator of (Sâ,Pâ). Theorem 1 puts a necessary condition on F and G for them to be the fundamental operators of (S,P) and (Sâ,Pâ) 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 Î-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 (Aâ,Bâ,Pâ) 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
Journal: Journal of Mathematical Analysis and Applications - Volume 425, Issue 2, 15 May 2015, Pages 983-1003
نویسندگان
Tirthankar Bhattacharyya, Sneh Lata, Haripada Sau,