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Zeitschrift für Analysis und ihre Anwendungen


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Volume 3, Issue 6, 1984, pp. 569–576
DOI: 10.4171/ZAA/131

Published online: 1984-12-31

Remarks on Duality Mapping and the Lax-Milgram Property

Josef Kolomý[1]

(1) Charles University Prague, Czech Republic

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

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Kolomý Josef: Remarks on Duality Mapping and the Lax-Milgram Property. Z. Anal. Anwend. 3 (1984), 569-576. doi: 10.4171/ZAA/131