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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

An internal characterization of inessential operators


Author: Pietro Aiena
Journal: Proc. Amer. Math. Soc. 102 (1988), 625-626
MSC: Primary 47B05
DOI: https://doi.org/10.1090/S0002-9939-1988-0928992-7
MathSciNet review: 928992
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Abstract: We characterize the ideal of inessential operators $ I(E)$ on a complex Banach space $ E$ as the largest ideal of the class $ \mathcal{A}(E)$ of all bounded linear operators $ A$ having the property that the restrictions $ A\left\vert M \right.$ of $ A$ on any closed infinite-dimensional invariant subspace $ M$ may be.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0928992-7
Keywords: Inessential and Riesz operators
Article copyright: © Copyright 1988 American Mathematical Society

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