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Γ-Convergence in Topological Vector Spaces

  • Gianni Dal Maso
Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 8)

Abstract

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
  1. (i)

    the map (x, y) ↦ x + y. Is continuous from X × X in to X ,

     
  2. (ii)

    for every tR the map xtx is continuous from X into X .

     

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Gianni Dal Maso
    • 1
  1. 1.International School for Advanced Studies (SISSA)TriesteItaly

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