FURUTA INEQUALITY AND q-HYPONORMAL OPERATORS

被引：0

作者：

Yuan, Jiangtao ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

OPERATORS AND MATRICES | 2010年 / 4卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Loewner-Heinz inequality; Furuta inequality; q-hyponormal operator; Aluthge transform; ALUTHGE TRANSFORMS; POWERS; RANGE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is to consider Furuta type inequalities and q-hyponormal operators. It is shown that the complete form and original form of Furuta inequality are equivalent to each other. Forward, we prove that the complete form and original form of Furuta inequality are equivalent to the order relations among Aluthge transforms on q-hyponormal operators. Lastly, a simplified and short proof of the order structure on powers of q-hyponormal operators is shown.

引用

页码：405 / 415

页数：11

共 31 条

[1] A TRACE ESTIMATE OF (T-STAR-T)P-(TT-STAR)P [J].

ALUTHGE, A ;

XIA, DX .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1989, 12 (02) :300-303

[2] ON P-HYPONORMAL OPERATORS FOR 0 LESS-THAN P LESS-THAN 1 [J].

ALUTHGE, A .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1990, 13 (03) :307-315

[3] Powers of p-hyponormal operators [J].

Aluthge, A ;

Wang, D .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 1999, 3 (03) :279-284

[4]

[Anonymous], 1999, SUT J MATH

[5] Convergence of the iterated Aluthge transform sequence for diagonalizable matrices [J].

Antezana, Jorge ;

Pujals, Enrique R. ;

Stojanoff, Dernetrio .

ADVANCES IN MATHEMATICS, 2007, 216 (01) :255-278

[6] On Aluthge transforms of p-hyponormal operators [J].

Cho, M ;

Jung, IB ;

Lee, WY .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2005, 53 (03) :321-329

[7]

CURTO R, 1983, INTEGR EQUAT OPER TH, V6, P507

[8] SUBCLASSES OF HYPONORMAL OPERATORS [J].

FUJII, M ;

NAKATSU, Y .

PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 (04) :243-246

[9] On powers of p-hyponormal and log-hyponormal operators [J].

Furuta, T ;

Yanagida, M .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (04) :367-380

[10]

FURUTA T, 1987, P AM MATH SOC, V101, P85

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