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On the extensions to the bidual of a maximal monotone operator


Author: Jean-Pierre Gossez
Journal: Proc. Amer. Math. Soc. 62 (1977), 67-71
MSC: Primary 47H05
DOI: https://doi.org/10.1090/S0002-9939-1977-0428121-5
MathSciNet review: 0428121
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Abstract: An example is given which shows that a maximal monotone operator from a Banach space X to its dual $ {X^\ast}$ may have several extensions into a maximal monotone operator from $ {X^{\ast \ast}}$ to $ {X^\ast}$.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0428121-5
Article copyright: © Copyright 1977 American Mathematical Society

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