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Space pre-order and minus partial order for operators on Banach spaces

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Abstract

We extend the definitions of space pre-order and minus partial order to the class of bounded linear operators on Banach spaces. Thus, we generalize several results which are well-known for real and complex matrices.

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Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, P. O. Box 224, 18000, Niš, Serbia

    Dragan S. Rakić & Dragan S. Djordjević

Authors
  1. Dragan S. Rakić
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  2. Dragan S. Djordjević
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Correspondence to Dragan S. Rakić.

Additional information

The authors are supported by the Ministry of Education and Science, Government of the Republic of Serbia, Grant No. 174007.

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Rakić, D.S., Djordjević, D.S. Space pre-order and minus partial order for operators on Banach spaces. Aequat. Math. 85, 429–448 (2013). https://doi.org/10.1007/s00010-012-0133-2

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  • DOI: https://doi.org/10.1007/s00010-012-0133-2

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