Results 31 to 40 of about 10,663,991 (195)

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

Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği

Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021
Normalleştirilmiş $K_{\lambda}:=\frac{k_{\lambda}}{\left\Vert k_{\lambda}\right\Vert_{\mathcal{H}}}$, üretici çekirdekli $\mathcal{H}\left( \Omega\right) $, Hilbert uzayı üzerinde $A$ sınırlı lineer operatör için Berezin sembolü ve Berezin sayısı ...
Mehmet Gürdal, Hamdullah Başaran, Mualla Birgül Huban   +2 more
doaj   +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

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_ (A,B))&\leq\frac{\|X\|^{r}}{2}\textbf{ber}(A^{r}+B^{r})&\leq\frac{\|X\|^{r}}{2}\textbf{ber}( A^{r}+(1- )B^{r})+\textbf ...
Hajmohamadi, Monire, Lashkaripour, Rahmatollah, Bakherad, Mojtaba   +2 more
openaire   +2 more sources

Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number

Journal of Mathematical Inequalities, 2023
. In this work, the concept of the Davis-Wielandt Berezin number is introduced. Some upper and lower bounds for the Davis-Wielandt Berezin number are introduced. A connection between norm-parallelism to the identity operator and an equality condition for
M. Alomari, M. Hajmohamadi, M. Bakherad
semanticscholar   +1 more source

Some New Inequalities via Berezin Numbers

Turkish Journal of Mathematics and Computer Science, 2022
The Berezin transform $\widetilde{T}$ and the Berezin radius of an operator $T$ on the reproducing kernel Hilbert space $\mathcal{H}\left( Q\right) $ over some set $Q$ with the reproducing kernel $K_{\eta}$ are defined, respectively, by \[ \widetilde{T}(\eta)=\left\langle {T\frac{K_{\eta}}{{\left\Vert K_{\eta }\right\Vert }},\frac{K_{\eta ...
Mualla Birgül HUBAN, Hamdullah BAŞARAN, Mehmet GÜRDAL   +2 more
openaire   +2 more sources

Some Euclidean Berezin number inequalities of a pair of operators and their applications

Filomat, 2023
In this paper, wepresent 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.
M. Guesba
semanticscholar   +1 more source

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

Symbol correspondences for spin systems [PDF]

, 2014
The present monograph explores the correspondence between quantum and classical mechanics in the particular context of spin systems, that is, SU(2)-symmetric mechanical systems.
Rios, Pedro de M, Straume, Eldar
core   +2 more sources

Bounds for the Berezin number of reproducing kernel Hilbert space operators

Filomat, 2023
In this paper, we find new upper bounds for the Berezin number of the product of bounded linear operators defined on reproducing kernel Hilbert spaces.
Anirban Sen, Pintu Bhunia, K. Paul
semanticscholar   +1 more source