Spectral characterization of weak topological transitivity

Given a bounded linear operator S on a real Banach space X , we characterize weak topological transitivity of the operator families , , and in terms of the point spectrum of the dual operator S *.

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Bibliographische Detailangaben
Veröffentlicht in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2011-09, Vol.105 (2), p.403-414
Hauptverfasser:	Desch, Wolfgang, Schappacher, Wilhelm
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Banach space Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Given a bounded linear operator S on a real Banach space X , we characterize weak topological transitivity of the operator families , , and in terms of the point spectrum of the dual operator S *.
ISSN:	1578-7303 1579-1505
DOI:	10.1007/s13398-011-0023-9