增加的强压缩积分算子半群的生成

Generation of increasing integrated semigroups of strong-contractions

在序Banach空间中,用耗散算子和预解正算子刻画增加积分算子半群;给出了增加的强压缩积分算子半群的生成定理,发展了近期关于增加积分算子半群的相关结果.

In an ordered Banach space, a generation theorem, about increasing integrated semigroups of strong-contractions, is obtained in terms of resolvent positive operators and dissipative operators. Some recent results on increasing integrated semigroups are generalized.