Abstract
We introduce and study the notion of orthosymmetric Archimedean-valued vector lattices as a generalization of finite-dimensional Euclidean inner spaces. A special attention has been paid to linear operators on these spaces.
We would like to dedicate this paper to our friend Professor Ben de Pagter, whose works strongly influenced our research. He is, undoubtedly, the most cited author in our articles
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Amor, M.A.B., Boulabiar, K., Jaber, J. (2019). Orthosymmetric Archimedean-Valued Vector Lattices. In: Buskes, G., et al. Positivity and Noncommutative Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10850-2_2
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DOI: https://doi.org/10.1007/978-3-030-10850-2_2
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