Add to ORKGIn this paper, we provide the new Berezin radius inequalities on the space of operators defined on a functional Hilbert space. By using these inequalities, we obtain various upper bounds for the Berezin radius of functional Hilbert space operators. We prove, in particular, the following sharp upper bound ber2 (S ∗T) ≤ 1 2ξ + 2 ber (S ∗T) |T| 2 + |S| 2 ber + ξ 2ξ + 2 |T| 4 + |S| 4 ber for arbitrary T, S ∈ B (H) and ξ ≥ 0. Other related issues are also discussed
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) o...
The Euclidean operator radius of two bounded linear operators in the Hilbert $C^*$-module over $\A$ ...
AbstractSome inequalities for the numerical radius, the operator norm and the maximum of the real pa...
summary:The Berezin symbol $\tilde {A}$ of an operator $A$ acting on the reproducing kernel Hilbert ...
summary:The Berezin symbol $\tilde {A}$ of an operator $A$ acting on the reproducing kernel Hilbert ...
AbstractWe give in terms of reproducing kernel and Berezin symbol the sufficient conditions ensuring...
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean oper...
AbstractWe investigate some numerical characteristics of Toeplitz operators including the numerical ...
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean oper...
We consider the Riccati operator equations on the weighted Bergman space A 2 α (Bn) of the unit ...
To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S...
We prove Berezin–Li–Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sph...
In this paper, we use a new method to solve a long-standing problem. More specifically, we show that...
The standard Berezin and Berezin-Toeplitz quantizations on a K¨ahler manifold are based on operator ...
AbstractWe give an other proof of the classical Beurling theorem on z -invariant subspaces in the cl...
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) o...
The Euclidean operator radius of two bounded linear operators in the Hilbert $C^*$-module over $\A$ ...
AbstractSome inequalities for the numerical radius, the operator norm and the maximum of the real pa...
summary:The Berezin symbol $\tilde {A}$ of an operator $A$ acting on the reproducing kernel Hilbert ...
summary:The Berezin symbol $\tilde {A}$ of an operator $A$ acting on the reproducing kernel Hilbert ...
AbstractWe give in terms of reproducing kernel and Berezin symbol the sufficient conditions ensuring...
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean oper...
AbstractWe investigate some numerical characteristics of Toeplitz operators including the numerical ...
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean oper...
We consider the Riccati operator equations on the weighted Bergman space A 2 α (Bn) of the unit ...
To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S...
We prove Berezin–Li–Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sph...
In this paper, we use a new method to solve a long-standing problem. More specifically, we show that...
The standard Berezin and Berezin-Toeplitz quantizations on a K¨ahler manifold are based on operator ...
AbstractWe give an other proof of the classical Beurling theorem on z -invariant subspaces in the cl...
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) o...
The Euclidean operator radius of two bounded linear operators in the Hilbert $C^*$-module over $\A$ ...
AbstractSome inequalities for the numerical radius, the operator norm and the maximum of the real pa...