Spectral characterization of the kh-socle in Banach Jordan algebras

Xin Wang; Peng Cao

doi:10.1016/j.jmaa.2018.06.003

Spectral characterization of the kh-socle in Banach Jordan algebras

Xin Wang, Peng Cao^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

6 Citations (Scopus)

Abstract

Let J be a unital semisimple Banach Jordan algebra. In this paper, we will give some new spectral characterizations of the kh-socle in J, kh(soc(J)), using the perturbation of the full spectrum theory.

Original language	English
Pages (from-to)	567-572
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	466
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2018.06.003
Publication status	Published - 1 Oct 2018

Keywords

Banach Jordan algebras
Good isolated points
Inessential elements
Inessential ideals

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10.1016/j.jmaa.2018.06.003

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title = "Spectral characterization of the kh-socle in Banach Jordan algebras",

abstract = "Let J be a unital semisimple Banach Jordan algebra. In this paper, we will give some new spectral characterizations of the kh-socle in J, kh(soc(J)), using the perturbation of the full spectrum theory.",

keywords = "Banach Jordan algebras, Good isolated points, Inessential elements, Inessential ideals",

author = "Xin Wang and Peng Cao",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

month = oct,

day = "1",

doi = "10.1016/j.jmaa.2018.06.003",

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T1 - Spectral characterization of the kh-socle in Banach Jordan algebras

AU - Wang, Xin

AU - Cao, Peng

PY - 2018/10/1

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N2 - Let J be a unital semisimple Banach Jordan algebra. In this paper, we will give some new spectral characterizations of the kh-socle in J, kh(soc(J)), using the perturbation of the full spectrum theory.

AB - Let J be a unital semisimple Banach Jordan algebra. In this paper, we will give some new spectral characterizations of the kh-socle in J, kh(soc(J)), using the perturbation of the full spectrum theory.

KW - Banach Jordan algebras

KW - Good isolated points

KW - Inessential elements

KW - Inessential ideals

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U2 - 10.1016/j.jmaa.2018.06.003

DO - 10.1016/j.jmaa.2018.06.003

M3 - Article

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VL - 466

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EP - 572

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Spectral characterization of the kh-socle in Banach Jordan algebras

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Keywords

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