Results 21 to 30 of about 14,266 (165)

Numerical radius, Berezin number, and Berezin norm inequalities for sums of operators

Turkish Journal of Mathematics, 2023
Summary: The purpose of this article is to explore various inequalities pertaining to the numerical radius of operators in a Hilbert space. Additionally, we present several bounds for the Berezin number and Berezin norm of operators that act on a reproducing kernel Hilbert space.
Altwaijry, Najla, Feki, Kais, Minculete, Nicusor   +2 more
openaire   +1 more source

An extension of the Euclidean Berezin number

Filomat, 2023
The Berezin transform ? of an operator A, acting on the reproducing kernel Hilbert space H = H(?) over some (non-empty) set ?, is defined by ?(?) = ?A?k?,?k?? (? ? ?), where ?k? = k?/?k?? is the normalized reproducing kernel of H. The Berezin number of an operator A is defined by ber(A) = sup ??? ??(?)? = sup ??? ??A?k?,?k???.
Nooshin Eslami Mahdiabadi, Mojtaba Bakherad   +1 more
openaire   +1 more source

Deformation Quantization of Geometric Quantum Mechanics [PDF]

, 2001
Second quantization of a classical nonrelativistic one-particle system as a deformation quantization of the Schrodinger spinless field is considered.
Anandan J, Anandan J, Ashtekar A, Bayen F, Bayen F, Berezin F A, Berezin F A, Berezin F A, Berezin F A, Berezin F A, Berezin F A, Cahen M, Cahen M, Cahen M, Connes A, Curtright T, Dito J, Dito J, F J Turrubiates, Fedosov B, Fedosov B, Gradshteyn I S, H García-Compeán, Hatfield B, Hughston L P, Isidro J M, Isidro J M, J F Plebanski, Karabegov A, Karabegov A V, Kibble T W B, Kobayashi S, Kobayashi S, Kontsevich M, M Przanowski, Mielnik B, Mielnik B, Moyal J E, Reshetikhin N, Schlichenmaier M, Schlichenmaier M, Schlichenmaier M, Seiberg N, Spradlin M, Sternheimer D, Volovich A, Weinberg S, Wells R O, Weyl H, Zachos C K   +49 more
core   +2 more sources

Berezin number inequalities via convex functions

Filomat, 2022
The Berezin symbol ?A of an operator A on the reproducing kernel Hilbert space H (?) over some set ? with the reproducing kernel k? is defined by ? (?) = ?A k?/||k?||, k?/||k?||?, ? ? ?. The Berezin number of an operator A is defined by ber(A) := sup ??? |?(?)|.
Başaran, Hamdullah, Huban, Mualla Birgül, GÜRDAL, Mehmet   +2 more
openaire   +3 more sources

On some numerical characteristics of operators

Arab Journal of Mathematical Sciences, 2015
We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert ...
M. Gürdal, M.T. Garayev, S. Saltan, U. Yamancı   +3 more
doaj   +1 more source

Improvements of Berezin number inequalities [PDF]

Linear and Multilinear Algebra, 2018
In this paper, we generalize several Berezin number inequalities involving product of operators. For instance, we show that if $A, B$ are positive operators and $X$ is any operator, then \begin{align*} \textbf{ber}^{r}(H_α(A,B))&\leq\frac{\|X\|^{r}}{2}\textbf{ber}(A^{r}+B^{r})&\leq\frac{\|X\|^{r}}{2}\textbf{ber}(αA^{r}+(1-α)B^{r})+\textbf{ber}((
Hajmohamadi, Monire, Lashkaripour, Rahmatollah, Bakherad, Mojtaba   +2 more
openaire   +2 more sources

On the inverse power inequality for the Berezin number of operators [PDF]

Journal of Mathematical Inequalities, 2018
The Berezin symbol (A) over tilde of operator A acting on the reproducing kernel Hilbert space H =H(Omega) over some set Omega is defined ...
Garayev, Mubariz, SALTAN, Suna, GUNDOGDU, Dilara   +2 more
openaire   +3 more sources

Some extended Berezin number inequalities

Filomat, 2021
We present generalized extensions of Berezin number inequalities involving the Euclidean Berezin number and f-connection of operators.
Satyajit Sahoo, Mojtaba Bakherad
openaire   +2 more sources

Berezin-Toeplitz quantization and Berezin transform [PDF]

, 2000
In this lecture results on the Berezin-Toeplitz quantization of arbitrary compact quantizable Kaehler manifolds are presented. These results are obtained in joint work with M. Bordemann and E. Meinrenken.
Schlichenmaier, Martin
core   +2 more sources

Berezin number inequalities in terms of Specht's

El-Cezeri Fen ve Mühendislik Dergisi, 2022
Smooth functions are associated with operators on Hilbert spaces of analytic functions through the Berezin transform. The Berezin symbol and the Berezin number of an operator A on the Hilbert functional space H(Ω) over some set Ω with the reproducing kernel are defined, respectively, by A ̃(μ)=〈A K_μ/K_μ ,K_μ/K_μ 〉,μ∈Ω and ber(A)=sup┬(μ∈Ω)⁡|A ̃(μ)|. By
Mehmet GÜRDAL, Hamdullah BAŞARAN
openaire   +1 more source