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arXiv 1201.0986math.FA
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渐近正则半群的不动点集的结构

On the structure of fixed-point sets of asymptotically regular semigroups

Andrzej Wiśnicki

摘要:

我们推广了Górnicki(2011)的几个最近的结果,即渐近正则映射的不动点集是其整环的收缩核.特别是,我们证明了在某些情况下,由此产生的收缩是Hölder连续的。我们还将拜纳姆系数和Opial模量用网表示。

英文摘要:

We extend a few recent results of Górnicki (2011) asserting that the set of fixed points of an asymptotically regular mapping is a retract of its domain. In particular, we prove that in some cases the resulting retraction is Hölder continuous. We also characterise Bynum's coefficients and the Opial modulus in terms of nets.

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。

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