Maximal monotonicity criteria for the composition and the sum under weak interiority conditions |
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Authors: | M D Voisei C Zălinescu |
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Institution: | 1. Department of Mathematics, Towson University, Towson, MD, USA 2. Faculty of Mathematics, University “Al. I. Cuza” Ia?i, 700506, Iasi, Romania 3. Institute of Mathematics Octav Mayer, Iasi, Romania
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Abstract: | The main goal of this article is to present several new results on the maximality of the composition and of the sum of maximal
monotone operators in Banach spaces under weak interiority conditions involving their domains. Direct applications of our
results to the structure of the range and domain of a maximal monotone operator are discussed. The last section of this note
studies continuity properties of the duality product between a Banach space X and its dual X* with respect to topologies compatible with the natural duality (X × X*, X* × X). |
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Keywords: | |
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