L-valued integration

Xingni Jiang, Jan Harm van der Walt, Marten Wortel
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Abstract

We develop integration theory for integrating functions taking values into a Dedekind complete unital $f$-algebra $\mathbb{L}$ with respect to $\mathbb{L}$-valued measures. We then discuss and prove completeness results of $\mathbb{L}$-valued $L^p$-spaces.
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L 值积分
我们发展了关于$mathbb{L}$值度量的积分理论,用于积分取值函数到Dedekind完整单元$f$代数$\mathbb{L}$。然后,我们讨论并证明了$mathbb{L}$-值$L^p$-空间的完备性结果。
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