Complex convexity and finitely additive vector measures
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- Proc. Amer. Math. Soc. 102 (1988), 867-873 Request permission
Abstract:
We prove that complex uniform convexity of a complex normed space $X$ is equivalent to complex uniform convexity of $\operatorname {bva} {\text {(}}\mathcal {F}{\text {,X)}}$. Similar results hold also for complex uniform convexity at a point. Some consequences for duals of certain operator spaces are discussed.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 867-873
- MSC: Primary 46B20; Secondary 28B05, 46G10, 47D15
- DOI: https://doi.org/10.1090/S0002-9939-1988-0934858-9
- MathSciNet review: 934858