Conditional expectations and an isomorphic characterization of $L_{1}$-spaces
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- by L. Tzafriri PDF
- Proc. Amer. Math. Soc. 27 (1971), 317-324 Request permission
Abstract:
Conditional expectations can be defined in Banach spaces whose elements can be represented as measurable functions. In the present paper it is shown that such a space (precisely a cyclic space) is isomorphic to an ${L_1}$-space if and only if the conditional expectations act as bounded operators for sufficiently many representations.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 317-324
- MSC: Primary 46.35; Secondary 28.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0275143-8
- MathSciNet review: 0275143