Reference : On the inner and outer norms of sublinear mappings
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/10902
On the inner and outer norms of sublinear mappings
English
Aragón Artacho, Francisco Javier mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Dontchev, A. L. [> >]
2007
Set-Valued Analysis
15
1
61-65
Yes
International
0927-6947
[en] sublinear mapping ; inner norm ; outer norm
[en] In this short note we show that the outer norm of a sublinear mapping F, acting between Banach spaces X and Y and with dom F = X, is finite only if F is single-valued. This implies in particular that for a sublinear multivalued mapping the inner and the outer norms cannot be finite simultaneously.
Luxembourg Centre for Systems Biomedicine (LCSB): Systems Biochemistry (Fleming Group)
http://hdl.handle.net/10993/10902
10.1007/s11228-006-0034-4
http://www.scopus.com/inward/record.url?eid=2-s2.0-33847279331&partnerID=40&md5=0b37c84b6147862045c3d2a065bd3da6

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