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Decomposably linear relations

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Abstract

A bounded linear relation T on a complex Banach space X is called a relatively regular linear relation, if \(TBT=T\) and \(T(0)\subseteq N(B)\) for some bounded operator B on X. This paper contains some properties, characterizations and decomposably results of relatively regular linear relation.

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Authors and Affiliations

  1. Laboratoire de Physiques Mathématiques, Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, B.P. 1171, 3000, Sfax, Tunisia

    Imen Issaoui & Maher Mnif

  2. ISSAT Mahdia, Université de Monastir, Route rejiche, 5121, Mahida, Tunisia

    Imen Issaoui & Maher Mnif

Authors
  1. Imen Issaoui
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  2. Maher Mnif
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Correspondence to Maher Mnif.

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Issaoui, I., Mnif, M. Decomposably linear relations. Rend. Circ. Mat. Palermo, II. Ser 72, 539–552 (2023). https://doi.org/10.1007/s12215-021-00688-6

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  • DOI: https://doi.org/10.1007/s12215-021-00688-6

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