Survey on star partial order in indefinite inner product spaces
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Date
2022
Authors
Stanišev, Ivana
Journal Title
Journal ISSN
Volume Title
Publisher
Matematički institut SANU
Source
Zbornik radova Topics in operator theory
Volume
20
Issue
28
Abstract
This is a short survey on the star partial order for matrices which is considered in the spaces with indefinite metric. The specific geometry of these spaces effects even on the definition of a star partial order, demanding the existence of the Moore--Penrose inverse of a certain matrix. A characterization of this partial order is also given. Some of the interesting properties are generalized and illustrated by the appropriate examples.
Description
Keywords
partial order, star partial order, indefinite inner product spaces, H-adjoint matrix, Moore-Penrose inverse
Citation
DOI
Scopus
ISSN
0351-9406
ISBN
978-86-80593-75-3
License
ARR