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Browsing NIR by Subject "Adjoint"

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    Moore-Penrose Inverse in Indefinite Inner Product Spaces
    (University of Niš, Faculty of Sciences and Mathematics, 2017) Radojević, Ivana; Đorđević, Dragan
    We present the definition and some properties for the Moore-Penrose inverse in possibly degenerate indefinite inner product spaces. The extensions of appropriate results, given for matrices in Euclidean and nondegenerate indefinite inner product spaces are established. All this is done by using the concept of linear relations.
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    Quasihyponormal and Strongly Quasihyponormal Matrices in Inner Product Spaces
    (International Linear Algebra Society, 2012) Radojević, Ivana; Đorđević, Dragan
    The notion of quasihyponormal and strongly quasihyponormal matrices is introduced in spaces equipped with possibly degenerate indefinite inner product, based on the works that studied hyponormal and strongly hyponormal matrices in these spaces. Generalizations of some results known for normal and hyponormal matrices are established.