ON POINTWISE ONE-SIDED ESTIMATES FOR CONTINUOUS FUNCTIONS
Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 83-91
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We prove that Mazur's functional characterization for one-sided estimates can be restricted to smaller classes of functionals in the case in which the functions under consideration are continuous. We apply this result to stability problems for dynamical systems in $l^\infty$, and in the Banach space of all selfadjoint operators on a Hilbert space.
HERZOG, GERD; LEMMERT, ROLAND. ON POINTWISE ONE-SIDED ESTIMATES FOR CONTINUOUS FUNCTIONS. Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 83-91. doi: 10.1017/S0017089505002892
@article{10_1017_S0017089505002892,
author = {HERZOG, GERD and LEMMERT, ROLAND},
title = {ON {POINTWISE} {ONE-SIDED} {ESTIMATES} {FOR} {CONTINUOUS} {FUNCTIONS}},
journal = {Glasgow mathematical journal},
pages = {83--91},
year = {2006},
volume = {48},
number = {1},
doi = {10.1017/S0017089505002892},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002892/}
}
TY - JOUR AU - HERZOG, GERD AU - LEMMERT, ROLAND TI - ON POINTWISE ONE-SIDED ESTIMATES FOR CONTINUOUS FUNCTIONS JO - Glasgow mathematical journal PY - 2006 SP - 83 EP - 91 VL - 48 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002892/ DO - 10.1017/S0017089505002892 ID - 10_1017_S0017089505002892 ER -
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