Abstract

We unify the theory of SSD spaces and the theory of strongly representable sets, and we apply our results to the theory of the various classes of maximally monotone sets. In particular, we prove that type (ED), dense type, type (D), type (NI) and strongly representable are equivalent concepts and, consequently, that the known properties of strongly representable sets follow from known properties of sets of type (ED)

Author information

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Stephen Simons

Department of Mathematics, University of California, Santa Barbara, CA 93106-3080, U.S.A.

simons@math.ucsb.edu

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Suggested citation

S. Simons. “Banach SSD Spaces and Classes of Monotone Sets.” Journal of Convex Analysis 18 (2011), No. 1, 227–258. https://doi.org/10.68381/jca18013

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press LLC.