On the Approximation of Contractive Semigroups of Operators in\n Discretizable Hilbert Spaces

2010/12/22 by Fredy Vides, Vides, Fredy · 2 citations
Engineering · Mathematics · #47D08 #65J10 #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA) #Numerical methods for differential equations #Primary 65J08 #Secondary 47D06 #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1012.5106

openalex publication_date 2010/12/22 · openalex created_date 2022/09/10 · openalex updated_date 2026/07/28

Abstract

The Computation of discrete Contractive semigroups becomes necessary when we\ndeal with several types of evolution equations in Discretizable Hilbert spaces,\nin this work we study some properties of the discrete forms of the contractive\nsemigroups induced by an approximation scheme in a prescribed Hilbert space, we\nalso deal with the implementation of computational methods in this Hilbert\nSpace and apply some of the results presented here in the Heisenberg\nrepresentation of quantum dynamical semigroups.\n

Cited by

• Approximation of Schrödinger Unitary Groups of Operators by Particular Projection Methods
• On the Approximation of Nonlinear Evolution Equations in Particular\n C*-Algebras of Operators

Related

• Approximation of Schrödinger Unitary Groups of Operators by Particular Projection Methods
• Dilation theorems for contractive semigroups
• Quantum Stochastic Operator Cocycles via Associated Semigroups
• Free dilations of families of C₀-semigroups and applications to evolution families
• Limiting absorption principle for contractions