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On the Dunford Property (C) for Bounded Linear Operators RS and SR

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An Erratum to this article was published on 06 July 2011

Abstract

In this paper we show that if \({S\in L(X,Y)}\) and \({R\in L(Y,X),}\) X and Y complex Banach spaces, then the products RS and SR share the Dunford property (C). We also study property (C) for R, S, RS and \({SR \in L(X)}\) in the case that R and S satisfies the operator equations RSR = R 2 and SRS = S 2.

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Authors and Affiliations

  1. Dipartimento di Metodi e Modelli Matematici, Facoltà di Ingegneria Università di Palermo, Palermo, Italy

    Pietro Aiena

  2. Departamento de Matemáticas, Facultad de Ciencias Universidad de Cantabria, 39071, Santander, Spain

    Manuel González

Authors
  1. Pietro Aiena
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  2. Manuel González
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Corresponding author

Correspondence to Pietro Aiena.

Additional information

Supported in part by MICINN (Spain), Grant MTM2010-20190.

An erratum to this article can be found at http://dx.doi.org/10.1007/s00020-011-1891-2

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Aiena, P., González, M. On the Dunford Property (C) for Bounded Linear Operators RS and SR . Integr. Equ. Oper. Theory 70, 561–568 (2011). https://doi.org/10.1007/s00020-011-1875-2

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  • DOI: https://doi.org/10.1007/s00020-011-1875-2

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