Geodesic
Berezin number inequalities via convex functions
Filomat, Tome 36 (2022) no. 7, p. 2333

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DOI

The Berezin symbol A of an operator A on the reproducing kernel Hilbert space H (Ω) over some set Ω with the reproducing kernel k ξ is defined by ˜ A(ξ) = A k ξ k ξ , k ξ k ξ , ξ ∈ Ω. The Berezin number of an operator A is defined by ber(A) := sup ξ∈Ω A(ξ). We study some problems of operator theory by using this bounded function A, including treatments of inner product inequalities via convex functions for the Berezin numbers of some operators. We also establish some inequalities involving of the Berezin inequalities.
DOI : 10.2298/FIL2207333H
Classification : 47A30, 47A63
Keywords: Berezin symbol, Berezin number, reproducing kernel Hilbert space, mixed Schwarz inequality 
Mualla Birgül Huban; Hamdullah Başaran; Mehmet Gürdal. Berezin number inequalities via convex functions. Filomat, Tome 36 (2022) no. 7, p. 2333 . doi: 10.2298/FIL2207333H
@article{10_2298_FIL2207333H,
     author = {Mualla Birg\"ul Huban and Hamdullah Ba\c{s}aran and Mehmet G\"urdal},
     title = {Berezin number inequalities via convex functions},
     journal = {Filomat},
     pages = {2333 },
     year = {2022},
     volume = {36},
     number = {7},
     doi = {10.2298/FIL2207333H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2207333H/}
}
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