کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602590 1631171 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Property (w) for perturbations of polaroid operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Property (w) for perturbations of polaroid operators
چکیده انگلیسی

A bounded linear operator T∈L(X) acting on a Banach space satisfies property (w), a variant of Weyl’s theorem, if the complement in the approximate point spectrum σa(T) of the Weyl essential approximate-point spectrum σwa(T) is the set of all isolated points of the spectrum which are eigenvalues of finite multiplicity. In this note, we study the stability of property (w) for a polaroid operator T acting on a Banach space, under perturbations by finite rank operators, by nilpotent operators and, more generally, by algebraic operators commuting with T.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issues 8–9, 15 April 2008, Pages 1791-1802