Functions operating on positive semidefinite quaternionic matrices

被引：2
|
作者：
Glöckner, H [1 ]
机构：
[1] Univ Gottingen, Dept Math, D-37073 Gottingen, Germany
来源：
MONATSHEFTE FUR MATHEMATIK | 2001年 / 132卷 / 04期
关键词：
quaternions; quaternionic unit ball; positive semidefinite matrices; positive definite kernels; Schur product theorem;
D O I：
10.1007/s006050170036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study functions phi : B --> H on the quaternionic unit ball B := {z is an element of H : /z/ less than or equal to 1} which operate on positive semidefinite matrices in the sense that (phi (a(ij))) is positive semidefinite whenever (a(ij)) is a positive semidefinite square matrix with entries a(ij) is an element of B.
引用
收藏
页码：303 / 324
页数：22
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