A note on lower bounds of norms of averaging operators

Authors
Blasco, JL Ivorra, C
Citation
Jl. Blasco et C. Ivorra, A note on lower bounds of norms of averaging operators, ARCH MATH, 74(6), 2000, pp. 467-471
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
74
Issue
6
Year of publication
2000
Pages
467 - 471
Database
ISI
SICI code
0003-889X(20000602)74:6<467:ANOLBO>2.0.ZU;2-#
Abstract
For any natural number n we obtain some examples of continuous onto maps ph i:S --> T for which Ditor's set Delta(phi)(2)(2, 2) is empty but every aver aging operator for phi has norm greater or equal to 2n + 1.