On the Maximal Extensions of Monotone Operators and Criteria for Maximality
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 19-4
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Within a nonzero, real Banach space we study the problem of characterising a maximal extension of a monotone operator in terms of minimality properties of representative functions that are bounded by the Penot and Fitzpatrick functions. We single out a property of this space of representative functions that enable a very compact treatment of maximality and pre-maximality issues.
Classification : 47H05, 46N10, 47H04, 49J53
Mots-clés : Sum theorems, maximal extensions, monotone operators, representative functions
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     author = {A. Eberhard and R. Wenczel},
     title = {On the {Maximal} {Extensions} of {Monotone} {Operators} and {Criteria} for {Maximality}},
     journal = {Journal of convex analysis},
     pages = {19--4},
     year = {2017},
     volume = {24},
     number = {1},
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A. Eberhard; R. Wenczel. On the Maximal Extensions of Monotone Operators and Criteria for Maximality. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 19-4. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a1/