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The structure of functions satisfying the law of large numbers in a class of locally convex spaces |
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| Authors: | Robert C. Stolz |
| Affiliation: | Department of Mathematics, Lafayette College, Easton, Pennsylvania 18042 |
| Abstract: | For each function  that satisfies the law of large numbers with values in a certain class of locally convex spaces with the Radon-Nikodym property the following decomposition holds:  , where  is integrable by seminorm, and  is a Pettis integrable function which is scalarly 0. |
| Keywords: | The law of large numbers locally convex spaces |
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