Bicircular projections on some matrix and operator spaces

被引：34
|
作者：
Stachó, LL
Zalar, B
机构：
[1] Univ Maribor, Fac Civil Engn, Dept Basic Sci, SLO-2000 Maribor, Slovenia
[2] Univ Szeged, Bolyai Inst, H-6270 Szeged, Hungary
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 384卷
关键词：
symmetric matrices; antisymmetric matrices; bicircular projections; Jordan algebras; Lie algebras; JB*-triples; Jordan derivations;
D O I：
10.1016/j.laa.2003.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A projection on a complex Banach space is bicircular if its linear combinations with the complementary projection having coefficients of modulus one are isometrics. Such projections are always bicontractive. In this paper we prove structure theorems for bicircular projections acting on the spaces of the full operator algebra, symmetric operators and antisymmetric operators. (C) 2003 Published by Elsevier Inc.
引用
收藏
页码：9 / 20
页数：12
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