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Convergence of generic infinite products of nonexpansive and uniformly continuous operators

✍ Scribed by Simeon Reich; Alexander J. Zaslavski

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
121 KB
Volume
36
Category
Article
ISSN
0362-546X

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## Abstract Let __I__, __J__ βŠ‚ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ Γ— __J__ β†’ ℝ, __H__ (__Ο†__)(__x__) ≔ __h__ (__x__, __Ο†__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,