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Vector subspaces and operators with the Stone condition

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Abstract

We introduce the notion of an operating function on a subset of a \({\Phi}\) -algebra E. Then we use this notion to generalize results from Huijsmans and de Pagter (Proc. Lond. Math. Soc. 48:161–174, 1984) about the connection between vector subspaces and subalgebras of E. In the second part we investigate the analogous problem for operators.

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Authors and Affiliations

  1. Faculté des sciences de Tunis, Complexe Universitaire El Manar, Tunis, Tunisia

    Youssef Azouzi

  2. Ecole Préparatoire aux Académies Militaires, Rue du Commandant Bjaoui, 4000, Sousse, Tunisia

    Fethi Ben Amor

Authors
  1. Youssef Azouzi
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  2. Fethi Ben Amor
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Correspondence to Fethi Ben Amor.

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Azouzi, Y., Ben Amor, F. Vector subspaces and operators with the Stone condition. Positivity 14, 585–593 (2010). https://doi.org/10.1007/s11117-010-0064-x

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  • DOI: https://doi.org/10.1007/s11117-010-0064-x

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