Geodesic
A Survey on $2\times2$ Operator Matrices and Their Applications
Zbornik radova, Tome 20 (2022) no. 28, p. 7 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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This paper presents the survey of results related to the bounded linear operator matrices on Banach spaces (specially on Hilbert spaces) and the results in Banach algebras, which are related to $2\times2$ operator matrices. We observe bounded linear operators represented in a matrix form, as well as the elements of Banach algebra in the similar form. Also, we study Fredholm properties and generalized invertibility of such operators. The limited space did not allow us to present all related results, so we believe that the enlarged paper will be the future project. The paper contains some new results on generalized and hypergeneralized projections.
Classification : 47-02
Keywords: $2\times2$ operator matrices, invertibility, Fredholm, generalized invertibility, projections, spectra 
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     author = {Dragan S. Djordjevi\'c and Milica Z. Kolund\v{z}Ija and Sonja Radosavljevi\'c and Dijana Mosi\'c},
     title = {A {Survey} on $2\times2$ {Operator} {Matrices} and {Their} {Applications}},
     journal = {Zbornik radova},
     pages = {7 },
     year = {2022},
     volume = {20},
     number = {28},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a1/}
}
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Dragan S. Djordjević; Milica Z. KolundžIja; Sonja Radosavljević; Dijana Mosić. A Survey on $2\times2$ Operator Matrices and Their Applications. Zbornik radova, Tome 20 (2022) no. 28, p. 7 . http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a1/