Some remarks about o–O pairs of Banach spaces

  • Gianluigi Manzo

    Università degli Studi di Napoli Federico II, Italy
Some remarks about o–O pairs of Banach spaces cover

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Abstract

In this paper we recall the definition and the properties of o–O structure given by K. M. Perfekt and show some properties that hold for this construction. The main result is that it can always be reduced to the case where the operators involved in the construction are linear functionals on the ‘‘big-O’’ space, simplifying the construction. Using this result, a series of results concerning these functionals is shown.

Cite this article

Gianluigi Manzo, Some remarks about o–O pairs of Banach spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 3, pp. 471–479

DOI 10.4171/RLM/901