ISSN:
1572-932X
Keywords:
Primary: 49A55, 90C25
;
secondary: 65K05, 49B27
;
Set convergence
;
Mosco convergence
;
slice convergence
;
Wijsman convergence
;
Painlevé-Kuratowski convergence
;
moment problems
;
inverse problems
;
nonreflexive spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We consider nested sequences of linear or convex closed sets of the form arising in estimation and other inverse problems. We show that such sequences may fail to converge in any of the recently studied set convergences other than Mosco convergence. We also provide a positive result concerning the epislice convergence of related sequences of functions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01027825
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