Operator theory and function theory in Drury-Arveson space and its quotients [PDF]
The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module.
A Arias +93 more
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Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces [PDF]
Abstract The purpose of this article is to study the weak- and strong-convergence theorems of solutions to split a feasibility problem for a family of nonspreading-type mapping in Hilbert spaces. The main result presented in this paper improves and extends some recent results of Censor et al., Byrne, Yang, Moudafi, Xu, Censor and Segal, Masad
Chang, Shih-sen +3 more
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Boundedly Spaced Subsequences and Weak Dynamics
Weak supercyclicity is related to weak stability, which leads to the question that asks whether every weakly supercyclic power bounded operator is weakly stable.
C. S. Kubrusly, P. C. M. Vieira
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Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode [PDF]
We propose an approximation scheme to describe the dynamics of the spin-boson model when the spectral density of the environment shows a peak at a characteristic frequency $\Omega$ which can be very close (or even equal) to the spin Zeeman frequency ...
Amir O Caldeira +4 more
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WEAK AND STRONG CONVERGENCE THEOREMS FOR A SYSTEM OF MIXED EQUILIBRIUM PROBLEMS AND A NONEXPANSIVE MAPPING IN HILBERT SPACES [PDF]
In this paper, we introduce an iterative sequence for finding solution of a system of mixed equilibrium problems and the set of fixed points of a nonexpansive mapping in Hilbert spaces. Then, the weak and strong convergence theorems are proved under some parameters control- ling conditions.
Somyot Plubtieng, Kamonrat Sombut
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In this article, we introduce the G-Tseng’s extragradient method, inspired by the extragradient method defined by Korpelevich, for solving G-variational inequality problems in Hilbert space.
Monika Swami, M.R. Jadeja
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Inertial hybrid algorithm for variational inequality problems in Hilbert spaces
For a variational inequality problem, the inertial projection and contraction method have been studied. It has a weak convergence result. In this paper, we propose a strong convergence iterative method for finding a solution of a variational inequality ...
Ming Tian, Bing-Nan Jiang
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Some addition to the generalized Riemann-Hilbert problem
We give some additions to the article "On the generalized Riemann-Hilbert problem with irregular singularities" by Bolibruch, Malek, Mitschi (math/0410483).
Gontsov, R. R., Vyugin, I. V.
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The System of Mixed Equilibrium Problems for Quasi-Nonexpansive Mappings in Hilbert Spaces
We first introduce the iterative procedure to approximate a common element of the fixed-point set of two quasinonexpansive mappings and the solution set of the system of mixed equilibrium problem (SMEP) in a real Hilbert space.
Rabian Wangkeeree, Panatda Boonman
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Hilbert's tenth problem for weak theories of arithmetic
Hilbert's tenth problem for a theory \(T\) asks if there is an algorithm which decides for a given polynomial \(p(x)\) from \(\mathbb{Z}[x]\) whether \(p(x)\) has a root in some model of \(T\). The author examines some of the model-theoretic consequences that an affirmative answer would have in cases such as \(T=\) Open Induction and others, and ...
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