Stephen Simons

  1. Banach SSD spaces and classes of monotone sets.

    Authors: Stephen Simons
    Subjects: Functional Analysis
    Abstract

    In this paper, 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).

  2. Banach SSD spaces and classes of monotone sets.

    Authors: Stephen Simons
    Subjects: Functional Analysis
    Abstract

    In this paper, 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).

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