Angle R

被引：0

作者：

Koo, Yoo Young ^{[1
]}

Lim, Jae Kun ^{[2
]}

机构：

[1] Yonsei Univ, Univ Coll, Seoul 120749, South Korea

[2] Hankyong Natl Univ, Dept Appl Math, Anseongsi 456749, Gyeonggido, South Korea

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Angle; Dixmier angle; Projection; Frame; Frame sequence; OBLIQUE PROJECTIONS; FRAME SEQUENCES; HILBERT-SPACES; RIESZ BASES; DUALS;

D O I：

10.1007/s40840-014-0072-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the characterizations of the direct sum decomposition of a Hilbert space in terms of the angle R and, using this result, present another proof of the equality concerning the norms of the projections P and I - P. As an application to abstract frame theory, we show that the ranges of the analysis operators of oblique dual frame sequences satisfy the the angle condition.

引用

页码：1177 / 1183

页数：7

共 18 条

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