Flat Orlicz spaces
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- by A. J. Pach, M. A. Smith and B. Turett PDF
- Proc. Amer. Math. Soc. 81 (1981), 528-530 Request permission
Abstract:
Let $(\Omega ,\Sigma ,\mu )$ be a finite measure space that is not purely atomic and let $\Phi$ be a Young function. It is shown that the Orlicz space ${L^\Phi }(\mu )$ is flat if and only if either ${L^\Phi }(\mu )$ contains an isometric copy of ${l^\infty }{\text {or}}{L^\Phi }(\mu )$ is isometric to ${L^1}(\mu )$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 528-530
- MSC: Primary 46E30; Secondary 46B25
- DOI: https://doi.org/10.1090/S0002-9939-1981-0601722-8
- MathSciNet review: 601722