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Dynamics of a Compact Operator

Name: Dynamics of a Compact Operator
Creator: Teck-Cheong Lim
Keywords: Mathematics - Functional Analysis, 37A99, 47B06, 47A35, Mathematics - Operator Algebras, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, Operator Algebras (math.OA), 01 natural sciences, Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 16 Feb 2011Embargo end date: 01 Jan 2010Publisher:WileyJournal:ISRN Mathematical Analysis, volume 2,011, pages 1-27 (issn: 2090-4657, eissn: 2090-4665,

Authors: Teck-Cheong Lim;

doi: 10.5402/2011/281737 , 10.48550/arxiv.1012.0275

arXiv: http://arxiv.org/abs/1012.0275

Dynamics of a Compact Operator

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Abstract

Let be a compact linear (or more generally affine) operator from a Banach space into itself. For each , the sequence of iterates , , 1, and its averages , 1, are either bounded or approach infinity.

Related Organizations

George Mason University
United States

Keywords

Mathematics - Functional Analysis, 37A99, 47B06, 47A35, Mathematics - Operator Algebras, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Operator Algebras (math.OA), Functional Analysis (math.FA)

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