Γ-Convergence in Topological Vector Spaces
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 8)
In this chapter we study some properties of the Γ-limits of functions defined on vector spaces. Let X be a topological vector space (over the real numbers), or, more generally, a (real) vector space endowed with a topology such that
the map (x, y) ↦ x + y. Is continuous from X × X in to X ,
for every t ∈ R the map x ↦ tx is continuous from X into X .
Unable to display preview. Download preview PDF.
© Springer Science+Business Media New York 1993