Ideal decompositions of a ternary ring of operators with predual

Masayoshi Kaneda

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We show that any TRO (ternary ring of operators) with predual can be decomposed into the direct sum of a two-sided ideal, a left ideal, and a right ideal in some von Neumann algebra using an extreme point of the unit ball of the TRO.

Original languageEnglish
Pages (from-to)297-303
Number of pages7
JournalPacific Journal of Mathematics
Volume266
Issue number2
DOIs
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

Ternary
Ring
Decompose
Operator
Extreme Points
Von Neumann Algebra
Direct Sum
Unit ball

Keywords

  • Dual operator spaces
  • Extreme points
  • Ideals
  • Ternary rings of operators
  • Von Neumann algebras

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ideal decompositions of a ternary ring of operators with predual. / Kaneda, Masayoshi.

In: Pacific Journal of Mathematics, Vol. 266, No. 2, 2013, p. 297-303.

Research output: Contribution to journalArticle

Kaneda, Masayoshi. / Ideal decompositions of a ternary ring of operators with predual. In: Pacific Journal of Mathematics. 2013 ; Vol. 266, No. 2. pp. 297-303.
@article{11c08d0a590e4b49935e5484394cdd50,
title = "Ideal decompositions of a ternary ring of operators with predual",
abstract = "We show that any TRO (ternary ring of operators) with predual can be decomposed into the direct sum of a two-sided ideal, a left ideal, and a right ideal in some von Neumann algebra using an extreme point of the unit ball of the TRO.",
keywords = "Dual operator spaces, Extreme points, Ideals, Ternary rings of operators, Von Neumann algebras",
author = "Masayoshi Kaneda",
year = "2013",
doi = "10.2140/pjm.2013.266.297",
language = "English",
volume = "266",
pages = "297--303",
journal = "Pacific Journal of Mathematics",
issn = "0030-8730",
publisher = "University of California, Berkeley",
number = "2",

}

TY - JOUR

T1 - Ideal decompositions of a ternary ring of operators with predual

AU - Kaneda, Masayoshi

PY - 2013

Y1 - 2013

N2 - We show that any TRO (ternary ring of operators) with predual can be decomposed into the direct sum of a two-sided ideal, a left ideal, and a right ideal in some von Neumann algebra using an extreme point of the unit ball of the TRO.

AB - We show that any TRO (ternary ring of operators) with predual can be decomposed into the direct sum of a two-sided ideal, a left ideal, and a right ideal in some von Neumann algebra using an extreme point of the unit ball of the TRO.

KW - Dual operator spaces

KW - Extreme points

KW - Ideals

KW - Ternary rings of operators

KW - Von Neumann algebras

UR - http://www.scopus.com/inward/record.url?scp=84896913139&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896913139&partnerID=8YFLogxK

U2 - 10.2140/pjm.2013.266.297

DO - 10.2140/pjm.2013.266.297

M3 - Article

VL - 266

SP - 297

EP - 303

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -