Tangent sets in the space of measures: With applications to variational analysis

Authors
Molchanov, I Zuyev, S
Citation
I. Molchanov et S. Zuyev, Tangent sets in the space of measures: With applications to variational analysis, J MATH ANAL, 249(2), 2000, pp. 539-552
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
249
Issue
2
Year of publication
2000
Pages
539 - 552
Database
ISI
SICI code
0022-247X(20000915)249:2<539:TSITSO>2.0.ZU;2-V
Abstract
We characterise the first and second order tangent sets in the linear space of signed measures with finite total variation and apply the obtained resu lts to derive necessary optimality conditions for functionals on measures. (C) 2000 Academic Press.