The norm of powers of the indefinite integral operator on (0,1)

被引：11

作者：

Thorpe, B ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math & Stat, Birmingham B15 2TT, W Midlands, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1998年 / 30卷

关键词：

D O I：

10.1112/S0024609398004810

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we find the norm of powers of the indefinite integral operator V, acting on L-2(0, 1). This answers a question raised by Halmos, and supplements some recent results of Manakov in [9]. Using results of Stepanov in [13], we show that the operator norm of V-n is asymptotically equal to the Hilbert-Schmidt norm as n --> infinity.

引用

页码：543 / 548

页数：6

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