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math.FA2014
Complex Vector Lattices Via Functional Completions
Gerard Buskes, Chris Schwanke
We show that the Fremlin tensor product is not square mean complete when X and Y are uncountable metrizable compact spaces. This motivates the definition of…
math.FA2014
Functional Completions of Archimedean Vector Lattices
Gerard Buskes, Chris Schwanke
We study completions of Archimedean vector lattices relative to any nonempty set of positively-homogeneous functions on finite-dimensional real vector spaces. Examples of such comp…