2017/11/16 by Stephen Simons, Simons, Stephen
Computer Science · Mathematics · #46A20 #52A41 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Primary 47H05 #Secondary 47N10
paper · pdf · doi:10.48550/arxiv.1711.06165
openalex publication_date 2017/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.