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- W28964922 abstract "ABSTRACT Let E be an infinite dimensional real or complex Banach space. For n = 0,1,2,…,∞, let a n (E) be the algebra generated by all continuous polynomials on E which are homogeneous of degree ≤ n. We discuss the completion of a n (E) with respect to several natural topologies, in the real and complex case. In particular, we prove that when E is a complex Banach space whose dual has the approximation property, then the τ ω — completion of a 1 (E) can be identified with those holomorphic functions f : E → ¢ whose derivative df : E + E' is compact." @default.
- W28964922 created "2016-06-24" @default.
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- W28964922 date "1979-01-01" @default.
- W28964922 modified "2023-09-23" @default.
- W28964922 title "Polynomial Approximation and a Question of G. E. Shilov" @default.
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- W28964922 doi "https://doi.org/10.1016/s0304-0208(08)72462-9" @default.
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