Results 41 to 50 of about 10,663,991 (195)

REVERSE INEQUALITIES FOR THE BEREZIN NUMBER OF OPERATORS

Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2022
For a bounded linear operator $A$ on a reproducing kernel Hilbert space $\mathcal{H}( )$, with normalized reproducing kernel $\widehat{k}_ = \frac{k_ }{\lVert k_ \lVert}$, the Berezin symbol, Berezin number and Berezin norm are defined respectively by $\widetilde{A}( ) = \langle A\widehat{k}_ ,\widehat{k}_ \rangle$, $ber(A) = \sup_{ \in ...
Garayev, Mubariz, Guediri, Hocine, Altwaijry, Najla   +2 more
openaire   +2 more sources

Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball [PDF]

, 2016
We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace-Beltrami operator of this manifold.
Berceanu, Stefan
core   +3 more sources

Hamilton-Jacobi approach to Berezinian singular systems [PDF]

, 1997
In this work we present a formal generalization of the Hamilton-Jacobi formalism, recently developed for singular systems, to include the case of Lagrangians containing variables which are elements of Berezin algebra.
B.M. Pimentel, Berezin, Carathéodory, Gitman, Güler, Güler, Güler, Güler, Güler, Hanson, J.L. Tomazelli, Pimentel, R.G. Teixeira, Rabei, Rabei, Sudarshan, Sundermeyer, Whittaker   +17 more
core   +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

Open strings in Lie groups and associative products [PDF]

, 2006
Firstly, we generalize a semi-classical limit of open strings on D-branes in group manifolds. The limit gives rise to rigid open strings, whose dynamics can efficiently be described in terms of a matrix algebra.
Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alvarez-Gaume, Balachandran, Behrend, Berezin, Bigatti, Bordemann, Cardy, Charles Jego, Chu, Coste, D'Appollonio, D'Appollonio, Davids, Davids, Douglas, Falcet, Felder, Felder, Figueroa-O'Farrill, Freidel, Gawedzki, Grosse, Hoppe, Hosomichi, Hou, Jan Troost, Jurco, Jurco, Karasev, Karasev, Kirillov, Kirillov, Landsman, Lieb, Liskova, Madore, Maldacena, McGreevy, Moore, Morariu, Morariu, Mukunda, Nielsen, Perelomov, Pierre Bieliavsky, Podles, Ponsot, Ponsot, Pradisi, Rawnsley, Rawnsley, Ribault, Ribault, Rieffel, Runkel, Schomerus, Seiberg, Sfetsos, Simon, Slater, Snyder, Taylor, Troost, Unterberger, Unterberger, Vilenkin, Vilenkin, Weinstein, Weinstein, Weinstein, Whipple, Whipple, Whipple, Wigner, Witten, Witten, Woodhouse, Zakrzewski   +83 more
core   +4 more sources

Conventional and Conformal Radiotherapy with and without Beam Intensity Modulation in Patients with Stage II Hodgkin’s Lymphoma with Supradiaphragmal Lesions

Клиническая онкогематология, 2018
Aim. To increase the efficacy of chemo-radiotherapy in patients with stage II Hodgkin’s lymphoma (HL) with supradiaphragmal lesions by different fractionation (conventional fractionation [CF] and multi-fractionation [MF]) and various radiation volume ...
Yu. N. Vinogradova, E. I. Ivanova, A. I. Chumachenko, E. V. Smirnova, G. I. Andreev, A. M. Kalesnik, N. A. Vorob’ev, N. V. Il’in   +7 more
doaj   +1 more source

Berezin inequalities for sums of operators and classical inequalities concerning the Berezin radius

Vojnotehnički Glasnik
Introduction/purpose: In this article, the author’s goal is to seek to obtain new inequalities of the Berezin type. Methods: The methods used are standard for operator theory. Results: Various inequalities of the type given by Huban et al.
Mehmet Gürdal, Vuk N. Stojiljković
doaj   +1 more source

On the Berezin number of operator matrices

Operators and Matrices
Summary: Scalar quantities associated with Hilbert-space operators have attracted the attention of numerous researchers due to their role in understanding the geometry of the \(C^*\)-algebra of bounded linear operators on a Hilbert space. In this paper, we explore the Berezin number of operator matrices, and present several new relations that simulate ...
M. Guesba, M. Sababheh
semanticscholar   +2 more sources

An explicit formula for the Berezin star product

, 2012
We prove an explicit formula of the Berezin star product on Kaehler manifolds. The formula is expressed as a summation over certain strongly connected digraphs.
A. Karabegov, A. Karabegov, A. Karabegov, A. Karabegov, A. Loi, A. Unterberger, B. Fedosov, C. Fefferman, C. Fefferman, C. Moreno, C. Moreno, D. Cvetković, E. Calabi, E. Ligocka, F. Bayen, F. Bayen, F.A. Berezin, F.A. Berezin, G. Tian, H. Omori, H. Omori, Hao Xu, L. Charles, L. Monvel, M. Bordemann, M. Bordemann, M. Cahen, M. Cahen, M. Cahen, M. De Wilde, M. Engliš, M. Engliš, M. Engliš, M. Engliš, M. Engliš, M. Engliš, M. Kontsevich, N. Nakazawa, X. Dai, X. Ma, X. Ma, Z. Lu   +41 more
core   +1 more source