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A class of linear operators in the space of abstract continuous functions

โœ Scribed by M. A. Krasnosel'skii

Publisher
SP MAIK Nauka/Interperiodica
Year
1967
Tongue
English
Weight
172 KB
Volume
2
Category
Article
ISSN
0001-4346

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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,