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/