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.
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页码：837 / 840
页数：4
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