On the range of a coercive maximal monotone operator in a nonreflexive Banach space

Gossez, Jean-Pierre

doi:10.1090/S0002-9939-1972-0298492-7

On the range of a coercive maximal monotone operator in a nonreflexive Banach space
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Proc. Amer. Math. Soc. 35 (1972), 88-92 Request permission

Abstract:

It is shown that the range of a coercive everywhere defined maximal monotone operator from a (nonreflexive) Banach space into its dual is dense for the $\mathrm {weak}^*$ topology but not necessarily for the norm topology.

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