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Quasidensity: A Survey and Some Examples

In: Splitting Algorithms, Modern Operator Theory, and Applications

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  • Stephen Simons

    (University of California, Department of Mathematics)

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.

Suggested Citation

  • Stephen Simons, 2019. "Quasidensity: A Survey and Some Examples," Springer Books, in: Heinz H. Bauschke & Regina S. Burachik & D. Russell Luke (ed.), Splitting Algorithms, Modern Operator Theory, and Applications, chapter 0, pages 351-362, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-25939-6_14
    DOI: 10.1007/978-3-030-25939-6_14
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