Results 41 to 50 of about 1,150,129 (227)

Toeplitz Operators on the Dirichlet Space of 𝔹n

Abstract and Applied Analysis, 2012
We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
doaj   +1 more source

Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian [PDF]

Journal of Spectral Theory, 2020
In this paper, we construct a family of Berezin-Toeplitz type quantizations of a compact symplectic manifold. For this, we choose a Riemannian metric on the manifold such that the associated Bochner Laplacian has the same local model at each point (this ...
Y. Kordyukov
semanticscholar   +1 more source

Hyponormality of Toeplitz operators [PDF]

Proceedings of the American Mathematical Society, 1988
For φ \varphi in L ∞ ( ∂ D ) {L^\infty }(\partial {\mathbf {D}}) , let φ = f + g ¯ \varphi = f + \bar g
openaire   +1 more source

Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space

Journal of Function Spaces and Applications, 2013
We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space. We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be
Jingyu Yang, Liu Liu, Yufeng Lu
doaj   +1 more source

Essential positivity for Toeplitz operators on the Fock space [PDF]

Integral equations and operator theory
In this short note, we discuss essential positivity of Toeplitz operators on the Fock space, as motivated by a recent question of Perälä and Virtanen (Proc. Amer. Math. Soc. 151:4807–4815, 2023).
R. Fulsche
semanticscholar   +1 more source

Correspondence theory on p-Fock spaces with applications to Toeplitz algebras [PDF]

, 2019
We prove several results concerning the theory of Toeplitz algebras over $p$-Fock spaces using a correspondence theory of translation invariant symbol and operator spaces. The most notable results are: The full Toeplitz algebra is the norm closure of all
R. Fulsche
semanticscholar   +1 more source

Beyond the Non‐Hermitian Skin Effect: Scaling‐Controlled Topology from Exceptional‐Bound Bands

Advanced Science, EarlyView.
ABSTRACT We establish a novel mechanism for topological transitions in non‐Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional‐bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well‐known non‐Hermitian skin ...
Mengjie Yang, Ching Hua Lee
wiley   +1 more source

Block Toeplitz operators with frequency-modulated semi-almost periodic symbols

International Journal of Mathematics and Mathematical Sciences, 2003
This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols.
A. Böttcher, S. Grudsky, I. Spitkovsky
doaj   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

Asian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source

Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols

Journal of Mathematics
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it.
Aissa Bouhali, Issam Louhichi, Abdelrahman Yousef   +2 more
doaj   +1 more source