论文标题
灯液上的注释 - 双连续分布群的Phillips Therorem
A note on the Lumer--Phillips theorem for bi-continuous semigroups
论文作者
论文摘要
鉴于Banach Space $ x $和$ x $上的额外的hausdorff $ x $上的本地凸出$τ$，我们以$τ$ -bi-bi-bi连续的半群为特征的发电机，本着Lumer-phillips Theorem的精神 - 即通过散发性W.R.T.
Given a Banach space $X$ and an additional coarser Hausdorff locally convex topology $τ$ on $X$ we characterise the generators of $τ$-bi-continuous semigroups in the spirit of the Lumer--Phillips theorem, i.e. by means of dissipativity w.r.t.~a directed system of seminorms and a range condition.
