Product measures and convergence theorems for product integrals in integration theory for semigroup valued functions

Alessandro Trombetta

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Product measures and convergence theorems for product integrals in integration theory for semigroup valued functions

机译：半群值函数积分理论中乘积积分的乘积测度和收敛定理

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In [11] Sion has investigated measures and integrals having values in uniform semigroups. In this paper a result which gives sufficient conditions for the existence of a unique product of semigroup valued measures is established. Moreover a convergence theorem for product integrals of semigroup valued functions is proved.

机译：在[11]中，Sion研究了具有均等半群中值的测度和积分。本文建立了一个结果，该结果为存在唯一的半群值测度产品提供了充分的条件。进一步证明了半群值函数乘积积分的一个收敛定理。

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《Rendiconti del Circolo Matematico di Palermo》 |2007年第1期|65-78|共14页
作者
Alessandro Trombetta;
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Dipartimento di Matematica Universitá degli studi della Calabria Arcavacata di Rende 87036 Cosenza;

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正文语种 eng
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关键词
28A25; 28B10; 28B20;

机译：支出;28b10;28b0;

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Product measures and convergence theorems for product integrals in integration theory for semigroup valued functions

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