Quasidensity: A Survey and Some Examples

Stephen Simons ()
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Stephen Simons: University of California, Department of Mathematics

Chapter Chapter 14 in Splitting Algorithms, Modern Operator Theory, and Applications, 2019, pp 351-362 from Springer

Abstract: Abstract In three previous papers, we discussed quasidense multifunctions from a Banach space into its dual, or, equivalently, quasidense subsets of the product of a Banach space and its dual. In this paper, we survey (without proofs) some of the main results about quasidensity, and give some simple limiting examples in Hilbert spaces, reflexive Banach spaces, and nonreflexive Banach spaces.

Keywords: Multifunction; Maximal monotonicity; Quasidensity; Sum theorem; Subdifferential; Strong maximality; Type (FPV); Type (FP); 47H05; 47N10; 52A41; 46A20 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-25939-6_14

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DOI: 10.1007/978-3-030-25939-6_14

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