Geodesic
A-numerical radius inequalities and a-translatable radii of semi-Hilbert space operators
Filomat, Tome 37 (2023) no. 11, p. 3443

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DOI

We develop A-numerical radius inequalities of the product and the commutator of semi-Hilbert space operators using the notion of A-numerical radius distance and A-seminorm distance. Further, we introduce a pair of translatable radii of semi-Hilbert space operators in the direction of another operator and obtain related inequalities which generalize the relevant inequalities studied in the setting of Hilbert space.
DOI : 10.2298/FIL2311443G
Classification : 47A05, 47A12, 47A30, 47B15
Keywords: Positive operator, A-numerical radius, A-seminorm distance, A-numerical radius distance, Inequality 
Messaoud Guesba; Pintu Bhunia; Kallol Paul. A-numerical radius inequalities and a-translatable radii of semi-Hilbert space operators. Filomat, Tome 37 (2023) no. 11, p. 3443 . doi: 10.2298/FIL2311443G
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     title = {A-numerical radius inequalities and a-translatable radii of {semi-Hilbert} space operators},
     journal = {Filomat},
     pages = {3443 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311443G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311443G/}
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