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- W1555087029 abstract "We introduce the concept of a smooth point of order $n$ of the closed unit ball of a Banach space $E$ and characterize such points for $E = c_0$, $L_p(mu)$ ($1leq p leinfty$), and $C(K)$. We show that every locally uniformly rotund multilinear form and homogeneous polynomial on a Banach space $E$ is generated by locally uniformly rotund linear functionals on $E$. We also classify such points for $E = c_0$, $L_p(mu)(1leq p leinfty)$, and $C(K)$." @default.
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- W1555087029 date "2001-01-01" @default.
- W1555087029 modified "2023-10-16" @default.
- W1555087029 title "Local properties of polynomials on a Banach space" @default.
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- W1555087029 doi "https://doi.org/10.1215/ijm/1258138253" @default.
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