The Orlicz-Pettis theorem fails for Lumer’s Hardy spaces $(LH)^ p(B)$
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- by M. Nawrocki PDF
- Proc. Amer. Math. Soc. 109 (1990), 957-963 Request permission
Abstract:
In this paper we prove that if $n > 1$ and $0 < p < 1$ then the Lumer’s Hardy space ${(LH)^p}({{\mathbf {B}}_n})$ of the unit ball ${{\mathbf {B}}_n}$ in ${{\mathbf {C}}^n}$ does not have the Orlicz-Pettis property.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 957-963
- MSC: Primary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1990-1007507-0
- MathSciNet review: 1007507