Recently, the authors introduced the notion of weighted semigroups which apply to sun-dual semigroups and especially to the translation semigroup on the space of left continuous functions with values in dual spaces. In this article, we will show that it is sufficient that we either assume geometry on the Banach, or an abelian structure on the minimal subgroup to prove almost periodicity. This yields a different approach to the almost periodicity of semigroups and integrals, by extending Basit generalized Kadets result to general groups, to obtain almost periodicity.

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关于有几何和无几何的几乎周期函数的分裂和积分

最近，作者引入了加权半群的概念，该概念适用于太阳对偶半群，尤其适用于对偶空间中具有值的左连续函数空间上的平移半群。在本文中，我们将证明，我们假设巴拿赫几何或最小子群上的阿贝尔结构就足以证明几乎周期性。这产生了半群和积分的近似周期性的不同方法，通过将Basit广义立宪民主党结果扩展到一般群来获得近似周期性。