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

页码：303 / 324

页数：22

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