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Semilattices and lattices of bounded continuous functions

โœ Scribed by J.B. Prolla

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
518 KB
Volume
30
Category
Article
ISSN
0898-1221

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## Abstract Let __I__, __J__ โŠ‚ โ„ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ ร— __J__ โ†’ โ„, __H__ (__ฯ†__)(__x__) โ‰” __h__ (__x__, __ฯ†__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,