Geodesic
Some Euclidean Berezin number inequalities of a pair of operators and their applications
Filomat, Tome 37 (2023) no. 26, p. 8777

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DOI

In this paper, we present several sharp lower and upper bounds for the Euclidean Berezin number of a pair of bounded linear operators defined on a reproducing kernel Hilbert space. As applications of these bounds we deduce some new results in this field. Further, some applications of the newly obtained inequalities are also provided.
DOI : 10.2298/FIL2326777G
Classification : 47A05, 47A55, 47B15
Keywords: Euclidean Berezin number, Berezin number, Berezin norm, reproducing kernel Hilbert space 
Messaoud Guesba. Some Euclidean Berezin number inequalities of a pair of operators and their applications. Filomat, Tome 37 (2023) no. 26, p. 8777 . doi: 10.2298/FIL2326777G
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     title = {Some {Euclidean} {Berezin} number inequalities of a pair of operators and their applications},
     journal = {Filomat},
     pages = {8777 },
     year = {2023},
     volume = {37},
     number = {26},
     doi = {10.2298/FIL2326777G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2326777G/}
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