On some properties of Deddens algebras

被引：11

作者：

Karaev, MT ^{[1
]}

Mustafayev, HS ^{[1
]}

机构：

[1] Natl Acad Sci, Inst Math & Mech, Baku AZ141, Azerbaijan

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2003年 / 33卷 / 03期

关键词：

D O I：

10.1216/rmjm/1181069935

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Deddens algebras and Shulman subspaces are introduced and their properties are studied. The descriptions of Deddens algebras associated with nilpotent and idempotent elements are given.

引用

页码：915 / 926

页数：12

共 7 条

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WONG, TK
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[3] Halmos P. R., 1982, HILBERT SPACE PROBLE
[4] A REMARK ON VOLTERRA OPERATOR
SARASON, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1965, 12 (02) : 244 - &
[5] SHULMAN VS, 1982, FUNKTSIONAL ANAL PRI, V16, P91
[6] SHULMAN VS, 1994, BANACH CTR PUBL, V30, P313
[7] Bimodules over nest algebras and Deddens' theorem
Todorov, I
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (06) : 1771 - 1780

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