The Lu Lu-semigroup for Envelopes Of Functions

• Published in: Quaestiones mathematicae Vol. 27; no. 1; pp. 89 - 97
• Main Authors: Malkowsky, E., Rohwer, C.H.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.03.2004
• Subjects: ENVELOPES OF FUNCTIONS; NON-LINEAR SMOOTHERS; SEMIGROUP OF OPERATORS

In the theory of non-linear smoothers a semigroup of operators has been established, that structures the rank based selectors in a lattice for the purpose of comparison and analysis. The well known upper and lower envelopes of functions can be associated with a pair of operators L and U that allow a...