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| 摘要: |
| 在算子理论中，为讨论一些非强连续的半群性质，引用了巴拿赫空间上具有相对弱连续性质的局部凸空间强连续半群。在双连续C半群和α次积分C半群的基础上引入指数有界双连续α次积分C半群,经过论证,得到了指数有界双连续α次积分C半群的一个逼近定理. |
| 关键词: 双连续α次积分C半群 指数有界 逼近 |
| DOI： |
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| An Approximation for Exponential Bounded α-times Integrated Bi-continuous C-semigroups |
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LI Yu-xia,SONG Xiao-qiu,CAI Liang, YU Xiao-hong
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| Abstract: |
| In the operator theory,in order to discuss some properties of semigrous which aren't strong continuous ,a whole range of semigroups on Banach aspaces having weaker continuity which are strongly continuous semigroups on locally convex spaces is introduced.Index bounded α-times integrated bi-continuous C-semigroups are drawn into on the basis of bi-continuous... |
| Key words: α-times integrated bi-continuous C-semigroup,index boundedness,approximatin |
