The complexification of a lattice seminormed space |
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| Authors: | G Buskes J Dever |
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| Institution: | Department of Mathematics, The University of Mississippi, University, MS 38655, United States |
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| Abstract: | We introduce tensor products in the category of lattice seminormed spaces. We show that the reasonable cross vector seminorms on the complexification of a lattice seminormed space are the same as the admissible vector seminorms. We then specialize these results to complexifications of Archimedean Riesz spaces. |
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| Keywords: | Lattice seminormed space Reasonable cross norm Tensor product Riesz space Complexification |
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