论文标题

Edelstein令人惊讶的仿射等距

Edelstein's Astonishing Affine Isometry

论文作者

Bauschke, Heinz H., Gretchko, Sylvain, Moursi, Walaa M., Saurette, Matthew

论文摘要

1964年,迈克尔·埃德尔斯坦(Michael Edelstein)提出了一个惊人的仿射等静脉测量,该静脉静电率作用于正方形序列的空间。该操作员没有固定点,而是一个副轨,它会收敛到0,而另一个在Norm中逃到了无穷大!我们重新审视,扩展并锐化了他的建筑。此外,我们绘制了与现代优化和单调操作器理论的联系。

In 1964, Michael Edelstein presented an amazing affine isometry acting on the space of square-summable sequences. This operator has no fixed points, but a suborbit that converges to 0 while another escapes in norm to infinity! We revisit, extend and sharpen his construction. Moreover, we sketch a connection to modern optimization and monotone operator theory.

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