Compactness of symmetric Markov semigroups and boundedness of eigenfunctions
Compactness of symmetric Markov semigroups and boundedness of eigenfunctions
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DOI：
10.1090/tran/7664
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发表时间：
2019-02
影响因子：
1.3
通讯作者：
M. Takeda
中科院分区：
文献类型：
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作者：
M. Takeda
设X X是E - E上一个不可约的m - m对称马尔可夫过程，具有强Feller性质。另外，假设X X具有紧性。然后证明了X X的半群是l2 (E;m) L^2（E;m）上的紧算子，并且每个特征函数都有一个有界连续版本。
Let X X be an irreducible m m -symmetric Markov process on E E with strong Feller property. In addition, suppose X X has a tightness property. We then show that the semigroup of X X is a compact operator on L 2 ( E ; m ) L^2(E;m) and every eigenfunction has a bounded continuous version.