Remarks on Duality Mapping and the Lax-Milgram Property

  • Josef Kolomý

    Charles University Prague, Czech Republic

Abstract

Some conditions under which the duality map is a homeomorphism from a Banach space onto and upper-semicontinuous at some dense subset of are derived. Some further pro-perties of the duality mapping are established in connection with the structure of the Banach space . The so-called Lax-Milgram property of the bilinear forms is also investigated.

Cite this article

Josef Kolomý, Remarks on Duality Mapping and the Lax-Milgram Property. Z. Anal. Anwend. 3 (1984), no. 6, pp. 569–576

DOI 10.4171/ZAA/131