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SPECTRAL MAXIMAL PROJECTIONS AND PROJECTION-RELATIVE DECOMPOSABILITY ON BANACH SPACES

Published online by Cambridge University Press:  19 May 2004

GERARD DUBOIS
GERARD DUBOIS
Affiliation:
Institut National des Sciences Appliquées de Lyon, Laboratoire Modélisation Mathématiques de Lyon, Bâtiment Léonard de Vinci, F - 69621 Villeurbanne Cedex e-mail: maths@insa-lyon.fr
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Abstract

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We define and study some properties of spectral maximal projections of a bounded operator on a complex Banach space. Then we apply these results to the new concepts of weakly projection-relative decomposable operators and projection-relative decomposable operators in the spirit of the works of C. Foias [6], A. Jafarian [7], I. Erdelyi and R. Lange [5].

Keywords

47B40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 391 - 397
Copyright
2004 Glasgow Mathematical Journal Trust