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扰动双参数C₀半群的直接范数连续性

Immediate Norm Continuity of Perturbed Two-parameter C₀ Semigroups

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【Author】 SONG Xue-li~(1,2),PENG Ji-gen~2 (1.School of Science,Chang’an University,Xi’an 710064,China) (2.College of Science,Xi’an Jiaotong University,Xi’an 710049,China)

【机构】长安大学理学院；西安交通大学理学院；

【摘要】双参数半群理论是研究Markov过程的一种重要方法.本文首先证明了双参数C₀半群在有界扰动下生成一个双参数C₀半群;其次证明了如果双参数C₀半群是直接范数连续的,那么在有界扰动下生成的双参数C₀半群也是直接范数连续的.更多还原

【Abstract】 Theory of two-parameter semigroups is an important method to investigate Markov process.Firstly,we prove that the perturbations of two-parameter C₀ semigroups by bounded operators are two-parameterC₀ semigroups.Secondly,we prove that the perturbed two-parameterC₀ semigroups inherit the immediately norm continuity of the original semigroups.更多还原