Geodesic
Algebraic Distance Between Submodules
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 44 (2019) no. 1 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We investigate the algebraic distance between closed and orthogonaly complemented submodules of a Hilbert $C^*$-module, which is defined as the norm of a difference of corresponding orthogonal projections. Some results are proved using $2\times2$ decompositions of adjointable operators. 
@article{BASS_2019_44_1_a4,
     author = {Dragan S. Djordjevi\'c},
     title = {Algebraic {Distance} {Between} {Submodules}},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {75 - 89},
     year = {2019},
     volume = {44},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BASS_2019_44_1_a4/}
}
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Dragan S. Djordjević. Algebraic Distance Between Submodules. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 44 (2019) no. 1. http://geodesic.mathdoc.fr/item/BASS_2019_44_1_a4/