论文标题
在非古典序列空间中及以后的高度环境和线性混乱
On hypercyclicity and linear chaos in a nonclassical sequence space and beyond
论文作者
论文摘要
我们分析了（边界和无界的）加权向后移位的高度循环，混合性和光谱结构，在非经典序列空间中，可总结序列的空间$ l_1 $ l_1都是同构的同构，并且连续且密集地嵌入到中。基于加权向后移位，我们进一步构建了非经典序列空间和经典空间$ L_1 $的新的有界和无限的线性超环和混乱的算子，包括那些超循环但不混乱的。
We analyze the hypercyclicity, chaoticity, and spectral structure of (bounded and unbounded) weighted backward shifts in a nonclassical sequence space, which the space $l_1$ of summable sequences is both isometrically isomorphic to and continuously and densely embedded into. Based on the weighted backward shifts, we further construct new bounded and unbounded linear hypercyclic and chaotic operators both in the nonclassical sequence space and the classical space $l_1$, including those that are hypercyclic but not chaotic.
