Backward shifts on function algebras
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J.R. Holub (1988) 1101 introduced the concept of backward shift on Banach spaces. We show that an infinite-dimensional function algebra does not admit a backward shift. Moreover, we define a backward quasi-shift as a weak type of a backward shift, and show that a function algebra A does not admit it, under the assumption that the Choquet boundary of A has at most finitely many isolated points.
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 377(1), 135-144, 2011-05
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