Survey on star partial order in indefinite inner product spaces

Stanišev, Ivana

Book Part Restricted access M45

Stanisev I. - TOT 2022.pdf (433.01KB)

2022

Stanišev, Ivana

Matematički institut SANU

Zbornik radova Topics in operator theory

327

342

English

M45 - Chapter in an M42 book, or paper in a thematic proceedings of national significance

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.

partial order, star partial order, indefinite inner product spaces, H-adjoint matrix, Moore-Penrose inverse

ISSN

0351-9406

ISBN

978-86-80593-75-3

URI

http://elib.mi.sanu.ac.rs/files/journals/zr/...
https://repozitorijum.tfbor.bg.ac.rs/handle/...
http://elib.mi.sanu.ac.rs/files/journals/zr/...

dc.rights.license	ARR
dc.identifier.uri	http://elib.mi.sanu.ac.rs/files/journals/zr/28/i.pdf
dc.identifier.uri	https://repozitorijum.tfbor.bg.ac.rs/handle/123456789/5972
dc.description.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.
dc.language.iso	en
dc.publisher	Matematički institut SANU
dc.source	Zbornik radova Topics in operator theory
dc.subject	partial order
dc.subject	star partial order
dc.subject	indefinite inner product spaces
dc.subject	H-adjoint matrix
dc.rights.uri	All rights reserved
dc.subject	Moore-Penrose inverse
dc.title	Survey on star partial order in indefinite inner product spaces
dc.type	bookPart
dc.type.version	publishedVersion
dc.citation.volume	20
dc.citation.issue	28
dc.citation.spage	327
dc.citation.epage	342
dc.citation.rank	M45
dc.creator	Stanišev, Ivana
dc.date.accessioned	2025-05-14T10:41:25Z
dc.date.available	2025-05-14T10:41:25Z
dc.date.issued	2022
dc.identifier.isbn	978-86-80593-75-3
dc.identifier.issn	0351-9406
dc.identifier.uri	http://elib.mi.sanu.ac.rs/files/journals/zr/28/zrn28p327-342.pdf


Survey on star partial order in indefinite inner product spaces	2


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