کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774804 | 1413567 | 2017 | 49 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Composition operators on Hilbert spaces of entire functions with analytic symbols
ترجمه فارسی عنوان
اپراتورهای ترکیب در فضاهای هیلبرت از کل توابع با نمادهای تحلیلی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
Composition operators with analytic symbols on some reproducing kernel Hilbert spaces of entire functions on a complex Hilbert space are studied. The questions of their boundedness, seminormality and positivity are investigated. It is proved that if such an operator is bounded, then its symbol is a polynomial of degree at most 1, i.e., it is an affine mapping. Fock's type model for composition operators with linear symbols is established. As a consequence, explicit formulas for their polar decomposition, Aluthge transform and powers with positive real exponents are provided. The theorem of Carswell, MacCluer and Schuster is generalized to the case of Segal-Bargmann spaces of infinite order. Some related questions are also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 454, Issue 2, 15 October 2017, Pages 1019-1066
Journal: Journal of Mathematical Analysis and Applications - Volume 454, Issue 2, 15 October 2017, Pages 1019-1066
نویسندگان
Jan Stochel, Jerzy BartÅomiej Stochel,