关于Read算子的拟仿射变换
On quasi-affine transforms of Read's operator
摘要：
我们证明了C. J. Read的例子：l_1上的算子T不具有任何非平凡的不变子空间，它不是l_1的预对偶上的算子的伴随算子.进一步，我们给出了一个有界对角算子D，使得即使它的逆算子是无界的，但D^{-1}TD是一个具有不变子空间的有界算子，并且与c_0上的一个算子是伴随的.
英文摘要：
We show that C.J.Read's example of an operator T on l_1 which does not have any non-trivial invariant subspaces is not the adjoint of an operator on a predual of l_1. Furthermore, we present a bounded diagonal operator D such that even though its inverse is unbounded, but D^{-1}TD is a bounded operator with invariant subspaces, and is adjoint to an operator on c_0.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
