Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings.
Hybrid proximal-point methods for zeros of maximal monotone operators, variational inequalities and mixed equilibrium problems.
Hybrid proximal-type algorithms for generalized equilibrium problems, maximal monotone operators, and relatively nonexpansive mappings.
Hybrid steepest descent method with variable parameters for general variational inequalities.
Hybrid steepest-descent methods for solving variational inequalities governed by boundedly Lipschitzian and strongly monotone operators.
Hyers-Ulam-Rassias stability of generalized derivations.
Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras.
Hyperbolic evolution semigroups on vector valued function spaces.
Hyperbolic geometry on noncommutative balls.
Hyperbolic monotonicity in the Hilbert ball.
Hypercontractivity for perturbed diffusion semigroups
Hypercontractivity of simple random variables
The optimal hypercontractivity constant for a natural operator semigroup acting on a discrete finite probability space is established up to a universal factor. The two-point spaces are proved to be the extremal case. The constants obtained are also optimal in the related moment inequalities for sums of independent random variables.
Hyperconvex spaces and fixed points.
Hypercyclic and chaotic weighted shifts
Extending previous results of H. Salas we obtain a characterisation of hypercyclic weighted shifts on an arbitrary F-sequence space in which the canonical unit vectors form a Schauder basis. If the basis is unconditional we give a characterisation of those hypercyclic weighted shifts that are even chaotic.
Hypercyclic convolution operators on entire functions of Hilbert-Schmidt holomorphy type
Hypercyclic operators in Fréchet spaces.
Hypercyclic operators with an infinite dimensional closed subspace of periodic points.
Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of X.
Hypercyclic sequences of operators
A sequence (Tₙ) of bounded linear operators between Banach spaces X,Y is said to be hypercyclic if there exists a vector x ∈ X such that the orbit Tₙx is dense in Y. The paper gives a survey of various conditions that imply the hypercyclicity of (Tₙ) and studies relations among them. The particular case of X = Y and mutually commuting operators Tₙ is analyzed. This includes the most interesting cases (Tⁿ) and (λₙTⁿ) where T is a fixed operator and λₙ are complex numbers. We also study when a sequence...
Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces
Our aim in this paper is to prove that every separable infinite-dimensional complex Banach space admits a topologically mixing holomorphic uniformly continuous semigroup and to characterize the mixing property for semigroups of operators. A concrete characterization of being topologically mixing for the translation semigroup on weighted spaces of functions is also given. Moreover, we prove that there exists a commutative algebra of operators containing both a chaotic operator and an operator which...
Hypercyclicity of convolution operators on spaces of entire functions
In this paper we use Nachbin’s holomorphy types to generalize some recent results concerning hypercyclic convolution operators on Fréchet spaces of entire functions of bounded type of infinitely many complex variables