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<p>The spectral decomposability of a closed linear relation <i>T</i> on a complex Banach space is demonstrated through three new characterisations: The first two are expressed in terms of the extended Bishop and decomposition properties while the third one is given by means of the coinduced operator of <i>T</i> and its local spectral subspaces. This has been achieved through the intensive study of the properties of the last mentioned subspaces as well as the ER-SVEP.</p>

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Three equivalent conditions for spectral decomposable linear relations

  • 期刊论文

  • 发表日期：

    2025年3月13日

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  • Yosra Barkaoui,
  • Maher Mnif

摘要

The spectral decomposability of a closed linear relation T on a complex Banach space is demonstrated through three new characterisations: The first two are expressed in terms of the extended Bishop and decomposition properties while the third one is given by means of the coinduced operator of T and its local spectral subspaces. This has been achieved through the intensive study of the properties of the last mentioned subspaces as well as the ER-SVEP.