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Sequential BKW-Operators and Function Algebras

✍ Scribed by Keiji Izuchi; Hiroyuki Takagi; Seiji Watanabe

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 542 KB
Volume: 85
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1996.0036

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✦ Synopsis

The Korovkin-type approximation theory for function algebras is studied. A complete characterization of the BKW-operators studied by Takahasi is given for function algebras, and this answers Altomare's conjecture affirmatively. As an application, the BKW-operators on the disk algebra for test functions [1, z] are determined.

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