On analytic functions into $l^{p}$-spaces
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- by J. Globevnik PDF
- Proc. Amer. Math. Soc. 61 (1976), 73-76 Request permission
Abstract:
Let $\Delta$ be the open unit disc in the complex plane and let $1 \leqslant p < \infty$. We construct an example of a discontinuous function from $\Delta$ into ${l^p}$ which is analytic as a function from $\Delta$ into ${l^{pā}}$ for any $pā > p$ and whose derivatives (into ${l^{pā}}$) of all orders are functions into ${l^p}$.References
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 73-76
- MSC: Primary 30A96
- DOI: https://doi.org/10.1090/S0002-9939-1976-0425138-0
- MathSciNet review: 0425138