Geodesic
Inequalities of generalized Euclidean Berezin number
Filomat, Tome 36 (2022) no. 16, p. 5337

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DOI

In this paper, we present several Berezin number inequalities involving extensions of Euclidean Berezin number for n operators. Among other inequalities for (T1, . . . ,Tn) ∈ B(H) we show that ber pp (T1, . . .,Tn) ≤ 1/2p ber n∑ i=1 (|Ti| + |T∗i |)p , where p > 1.
DOI : 10.2298/FIL2216337C
Classification : 47A30, 47A12, 47A63, 47A99
Keywords: Berezin number, Berezin symbol, Euclidean operator 
Fengsheng Chien; Eman F Mohommed; Monire Hajmohamadi; Rahmatollah Lashkaripour. Inequalities of generalized Euclidean Berezin number. Filomat, Tome 36 (2022) no. 16, p. 5337 . doi: 10.2298/FIL2216337C
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     author = {Fengsheng Chien and Eman F Mohommed and Monire Hajmohamadi and Rahmatollah Lashkaripour},
     title = {Inequalities of generalized {Euclidean} {Berezin} number},
     journal = {Filomat},
     pages = {5337 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216337C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216337C/}
}
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