On the Nonexistence of Certain Limits for the Complex Exponential

被引：0

作者：

Kahane, Charles S. ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

AMERICAN MATHEMATICAL MONTHLY | 2013年 / 120卷 / 09期

关键词：

D O I：

10.4169/amer.math.monthly.120.09.837

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With {n(j)} an arbitrary subsequence of natural numbers, it is shown that lim(j ->infinity) e(inj alpha) does not exist for almost all alpha is an element of R. The result is then applied to provide an alternative proof that L-1(R) is not weakly sequentially compact.

引用

页码：837 / 840

页数：4

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