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학술저널

A Characterization of Order Ideals in the Ordered Space of Hermitian Matrices

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In this paper, we give a characterization of an order ideal which is not necessarily positively generated in the ordered space of Hermitian matrices. Order properties for perfect subspaces are also studied along with other subspace order properties.

ABSTRACT

1. Introduction

2. A Decomposition of Order Ideals

3. Perfect Subspaces

4. Full Ideals and Fully Perfect Ideals

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