The resolvent average on symmetric cones of JB-algebras

Sangho Kum; Hosoo Lee; Yongdo Lim

doi:10.1016/j.laa.2017.01.022

The resolvent average on symmetric cones of JB-algebras

Sangho Kum, Hosoo Lee, Yongdo Lim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we introduce the resolvent averages on symmetric cones of JB-algebra and derive important properties such as self-duality, monotonicity and subhomogeneity. This leads to the conclusion that each resolvent average contracts the Thompson metric.

Original language	English
Pages (from-to)	260-273
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	520
DOIs	https://doi.org/10.1016/j.laa.2017.01.022
State	Published - 1 May 2017

Keywords

Hua's identity
JB-algebra
Non-expansiveness
Resolvent average
Symmetric cone
Thompson metric

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10.1016/j.laa.2017.01.022

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title = "The resolvent average on symmetric cones of JB-algebras",

abstract = "In this paper we introduce the resolvent averages on symmetric cones of JB-algebra and derive important properties such as self-duality, monotonicity and subhomogeneity. This leads to the conclusion that each resolvent average contracts the Thompson metric.",

keywords = "Hua's identity, JB-algebra, Non-expansiveness, Resolvent average, Symmetric cone, Thompson metric",

author = "Sangho Kum and Hosoo Lee and Yongdo Lim",

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year = "2017",

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AU - Kum, Sangho

AU - Lee, Hosoo

AU - Lim, Yongdo

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N2 - In this paper we introduce the resolvent averages on symmetric cones of JB-algebra and derive important properties such as self-duality, monotonicity and subhomogeneity. This leads to the conclusion that each resolvent average contracts the Thompson metric.

AB - In this paper we introduce the resolvent averages on symmetric cones of JB-algebra and derive important properties such as self-duality, monotonicity and subhomogeneity. This leads to the conclusion that each resolvent average contracts the Thompson metric.

KW - Hua's identity

KW - JB-algebra

KW - Non-expansiveness

KW - Resolvent average

KW - Symmetric cone

KW - Thompson metric

UR - https://www.scopus.com/pages/publications/85010191063

U2 - 10.1016/j.laa.2017.01.022

DO - 10.1016/j.laa.2017.01.022

M3 - Article

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SN - 0024-3795

VL - 520

SP - 260

EP - 273

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

The resolvent average on symmetric cones of JB-algebras

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Keywords

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