Results 51 to 60 of about 10,663,991 (195)

Complete refinements of the Berezin number inequalities [PDF]

Journal of Mathematical Inequalities, 2019
In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators acting on a reproducing kernel Hilbert space $\mathcal H=\mathcal H( )$ and also improve them. Among other inequalities, it is shown that if $A,B\in {\mathcal B}(\mathcal H)$
Hajmohamadi, Monire, YAMANCI, Ulaş, Lashkaripour, Rahmatollah, Bakherad, Mojtaba   +3 more
openaire   +4 more sources

Toeplitz operators on Bergman spaces of polyanalytic functions

, 2010
We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
core   +1 more source

Berezin-Type Operators on the Cotangent Bundle of a Nilpotent Group [PDF]

, 2019
We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product between a connected simply connected nilpotent Lie group and the dual of its Lie algebra.
A Grossmann, A Melin, BC Hall, D Manchon, D Manchon, E Cordero, E Cordero, H Bustos, J Toft, K Miller, K Miller, LJ Corwin, M Combescure, M Măntoiu, M Măntoiu, M Măntoiu, M Ruzhansky, MW Wong, MW Wong, P Boggiatto, P Boggiatto, P Głowacki, P Głowacki, P Głowacki, ST Ali, V Fischer, V Iftimie, V Iftimie   +27 more
core   +2 more sources

Berezin number inequalities via positivity of 2×2 block matrices

Operators and Matrices
Summary: Suppose \(\mathcal{B} (\mathcal{H} (\Omega ))\) is the set of all bounded linear operators acting on a reproducing kernel Hilbert space \(\mathcal{H} (\Omega )\). Applying the positivity criteria of \(2 \times 2\) block matrices, we develop several new upper bounds for the Berezin number of operators in \(\mathcal{B} (\mathcal{H}(\Omega ...
M. Guesba, Pintu Bhunia, K. Paul
semanticscholar   +3 more sources

On Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule

, 2007
We investigate supergroups with Grassmann parameters replaced by odd Clifford parameters. The connection with non-anticommutative supersymmetry is discussed. A Berezin-like calculus for odd Clifford variables is introduced.
Aldrovandi L. G., Berezin F. A., Berezin F. A., Carrion H. L., Chandrasekhar B., F. TOPPAN, Ferrara S., Ferrara S., Ihl M., Ilieva N., Ito K., M. ROJAS, Seiberg N., Wess J., Z. KUZNETSOVA, Álvarez-Gaumé L.   +15 more
core   +1 more source

Entanglement entropy on the fuzzy sphere [PDF]

, 2014
We obtain entanglement entropy on the noncommutative (fuzzy) two-sphere. To define a subregion with a well defined boundary in this geometry, we use the symbol map between elements of the noncommutative algebra and functions on the sphere.
Karczmarek, Joanna L., Sabella-Garnier, Philippe   +1 more
core   +2 more sources

Participation Beyond Compliance: Who Tried to Influence Other People's Vaccination Behaviour During the COVID‐19 Crisis?

Sociology of Health &Illness, Volume 48, Issue 3, March 2026.
ABSTRACT In this paper, we call for more attention to be paid to what we call ordinary contributions to public health policies: the propensity of ordinary citizens to actively influence others to follow or reject a health policy. Shifting the focus from personal compliance to active participation (i.e., ordinary contribution) raises distinct questions ...
Hugo Touzet, Benoît Giry, Jeremy K. Ward   +2 more
wiley   +1 more source

Berezin transform on the quantum unit ball

, 2003
We introduce and study, in the framework of a theory of quantum Cartan domains, a q-analogue of the Berezin transform on the unit ball. We construct q-analogues of weighted Bergman spaces, Toeplitz operators and covariant symbol calculus. In studying the
Arazy, Berezin, Berezin, Dmitry Shklyarov, Genkai Zhang, Klimek, Koelink, Neretin, Peetre, Proskurin, Pusz, Shklyarov, Shklyarov, Shklyarov, Shklyarov, Shklyarov, Sinel’shchikov, Unterberger, van Dijk, Wallach   +19 more
core   +1 more source

Universality for fluctuations of counting statistics of random normal matrices

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo, Leslie Molag, Joaquim Ortega‐Cerdà   +2 more
wiley   +1 more source

Compact Operators via the Berezin Transform [PDF]

, 1998
In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 on the boundary of the disk. This result is new even
Axler, Sheldon, Zheng, Dechao
core   +1 more source