Abstract
Let E be a directed vector space with the Riesz decomposition property and F be a complete vėctor lattice. It is proved that if G is a solid subspace of E then the subspace of all regular operators annihilating on G is a component in the space of all regular operators from E into F.12
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References
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R. Cristescu, Ordered Vector Spaces and Linear Operators, Abacus Press, Kent, England-1976.
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Beg, I., Popovici, I.M. & Danet, R.M. Decomposition of the Space of Regular Operators. Results. Math. 32, 281–284 (1997). https://doi.org/10.1007/BF03322138
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DOI: https://doi.org/10.1007/BF03322138