NORM OF SUMS OF PEIRCE PROJECTIONS

被引：0
|
作者：
Zalar, Borut [1 ]
机构：
[1] Univ Maribor, Fac Civil Engn, Dept Basic Sci, Smetanova 17, Maribor 2000, Slovenia
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2009年 / 2卷 / 03期
关键词：
Peirce projections; JB*-triple;
D O I：
10.1142/S1793557109000431
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Peirce projections P-1, P-1/2 and P-0 are one of the fundamental technical tools in the theory of JB*-triples. It is well known that all three of them are contractive. We show that the sum of two Peirce projections need not be contractive. We also give the upper estimate for the norm of such a sum, valid in all JC*-triples, and present a conjecture of the exact value of this norm, based on some numerical experiments.
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页码：521 / 531
页数：11
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