Geodesic
Survey on Star Partial Order in Indefinite Inner Product Spaces
Zbornik radova, Tome 20 (2022) no. 28, p. 327 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 47-02, 06A06, 15A09, 46C20
Keywords: partial order, star partial order, indefinite inner product spaces, H-adjoint matrix, Moore-Penrose inverse 
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     author = {Ivana Stani\v{s}ev},
     title = {Survey on {Star} {Partial} {Order} in {Indefinite} {Inner} {Product} {Spaces}},
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Ivana Stanišev. Survey on Star Partial Order in Indefinite Inner Product Spaces. Zbornik radova, Tome 20 (2022) no. 28, p. 327 . http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a7/