Geodesic
The minus order for projections
Filomat, Tome 35 (2021) no. 8, p. 2761

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DOI

Let B(H) Id be the set of all projections on a Hilbert space H. The necessary and sufficient conditions are presented for the existence of the supremum, as well as the infimum, of two arbitrary projections in B(H) Id with respect to the minus order. For a projection Q in B(H) Id , the properties of the sets {P : P is an orthogonal projection on H and Q P} and {P : P is an orthogonal projection on H and P Q} are further explored
DOI : 10.2298/FIL2108761L
Classification : 47A05, 47B65, 46C20
Keywords: Minus order, Projection (Idempotent), J-projection 
Yuan Li; Jiajia Niu; Xiao-Ming Xu. The minus order for projections. Filomat, Tome 35 (2021) no. 8, p. 2761 . doi: 10.2298/FIL2108761L
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     author = {Yuan Li and Jiajia Niu and Xiao-Ming Xu},
     title = {The minus order for projections},
     journal = {Filomat},
     pages = {2761 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108761L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108761L/}
}
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