Abstract
Bernstein's inequality (1) will be extended to polynomial maps of arbitrary complex Banach spaces; cf. (3). We also give conditions for equality in (3). The extension of Bernstein's inequality to the case of polynomial maps of ℂ into ℂ was given byTung [4] and [5].
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Włodarczyk, K. Extension of Bernstein's theorem for polynomial maps of complex Banach spaces. Monatshefte für Mathematik 97, 331–333 (1984). https://doi.org/10.1007/BF02349631
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DOI: https://doi.org/10.1007/BF02349631