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- W2040867584 abstract "We show constructively that every homogeneous polynomial that is weakly continuous on the bounded subsets of a real Banach space whose dual is not weak∗-separable admits a closed linear subspace whose dual is not weak∗-separable either where the polynomial vanishes. We also prove that the same can be said for vectorvalued polynomials. Finally, we study the validity of this result for continuous 2-homogeneous polynomials." @default.
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- W2040867584 date "2007-01-01" @default.
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- W2040867584 title "On the Zero-Set of Real Polynomials in Non-Separable Banach Spaces" @default.
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- W2040867584 doi "https://doi.org/10.2977/prims/1201012038" @default.
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