Browsing by Subject "Vector lattices"

Now showing items 1-2 of 2

    • Complex vector lattices via functional completions 

      Buskes, G.; Schwanke, C. (Elsevier, 2016)
      We show that the Fremlin tensor product View the MathML sourceC(X)⊗¯C(Y) is not square mean complete when X and Y are uncountable metrizable compact spaces. This motivates the definition of complexification of Archimedean ...

    • Functional completions of Archimedean vector lattices 

      Buskes, Gerard; Schwanke, Christopher (Springer, 2016)
      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 completions include square mean closed and ...