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On an Inequality Related to the Isotonicity of the Projection Operator

✍ Scribed by George Isac; Lars-Erik Persson

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
461 KB
Volume
86
Category
Article
ISSN
0021-9045

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✦ Synopsis

In connection to the study of the isotonicity of the projection operator onto a closed convex set in an ordered Hilbert space, Isac has recently remarked the importance of an inequality named ``the property of four elements'' (PFE). In this paper a sharp inequality closely connected to (PFE) is proved in a Banach space setting. The property (PFE) V for Lyapunov functionals V is introduced and studied. Some applications are included.

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