Bicircular projections and characterization of Hilbert spaces

被引：26

作者：

Stachó, LL

Zalar, B

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

[2] Univ Maribor, SLO-2000 Maribor, Slovenia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 10期

关键词：

JB* triple; bicircular projection; contractive projection; Hilbert space; Peirce decomposition;

D O I：

10.1090/S0002-9939-04-07333-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every JB* triple with rank one bicircular projection is a direct sum of two ideals, one of which is isometrically isomorphic to a Hilbert space.

引用

页码：3019 / 3025

页数：7

共 19 条

[1]

[Anonymous], 1989, OXFORD MATH MONOGRAP

[2] COMPACT OPERATIONS, MULTIPLIERS AND RADON-NIKODYM PROPERTY IN JB-STAR-TRIPLES [J].

BUNCE, LJ ;

CHU, CH .

PACIFIC JOURNAL OF MATHEMATICS, 1992, 153 (02) :249-265

[3]

Bunce LJ, 1998, Q J MATH, V49, P279

[4] The Dunford-Pettis property in JB*-triples [J].

Chu, CH ;

Mellon, P .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1997, 55 :515-526

[5]

Edwards C. M., 1988, J LOND MATH SOC, V38, P317

[6] SOLUTION OF THE CONTRACTIVE PROJECTION PROBLEM [J].

FRIEDMAN, Y ;

RUSSO, B .

JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 60 (01) :56-79

[7] CONDITIONAL-EXPECTATION AND BICONTRACTIVE PROJECTIONS ON JORDAN C-STAR-ALGEBRAS AND THEIR GENERALIZATIONS [J].

FRIEDMAN, Y ;

RUSSO, B .

MATHEMATISCHE ZEITSCHRIFT, 1987, 194 (02) :227-236

[8] THE GELFAND-NAIMARK THEOREM FOR JB-STAR-TRIPLES [J].

FRIEDMAN, Y ;

RUSSO, B .

DUKE MATHEMATICAL JOURNAL, 1986, 53 (01) :139-148

[9] CLASSIFICATION OF JBW-STAR-TRIPLES OF TYPE-I [J].

HORN, G .

MATHEMATISCHE ZEITSCHRIFT, 1987, 196 (02) :271-291

[10] CLASSIFICATION OF CONTINUOUS JBW-STAR-TRIPLES [J].

HORN, G ;

NEHER, E .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 306 (02) :553-578

← 1 2 →