کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418022 1339319 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Abel averages and holomorphically pseudo-contractive maps in Banach spaces
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Abel averages and holomorphically pseudo-contractive maps in Banach spaces
چکیده انگلیسی

A class of maps in a complex Banach space is studied, which includes both unbounded linear operators and nonlinear holomorphic maps. The defining property, which we call pseudo-contractivity, is introduced by means of the Abel averages of such maps. We show that the studied maps are dissipative in the spirit of the classical Lumer-Phillips theorem. For pseudo-contractive holomorphic maps, we establish the power convergence of the Abel averages to holomorphic retractions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1580-1593
نویسندگان
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