On Conditional Expectation Operators on L_p(\mu,X)(1\leq p \leq +\infinity,p\neq 2) |
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Authors: | Na Qiyuan |
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Institution: | Department of Mathematics,Nankai University,Tianjin,China. |
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Abstract: | Some characterizations of the conditional expectation operators on Lebesgue-Bochner spaces L_p(\mu,X) are given, where $1\leq p<\infinity,p\neq 2$. Also an example is given to show that the characterizations of the conditional expectation operators on L_p(\mu, X) are different from that on L_p(\mu).Finally, a representation of the constant-preserving contractive projection on spaces L_p(\mu, X) is got when 0
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