Klaus Keimel – författare

Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics. This volume contains selected papers presented at the International Symposium on Domain Theory which took place in Shanghai in October 1999. Topics of papers range from the encounters between topology and domain theory, sober spaces, Lawson topology, real number computability and continuous functionals to fuzzy modelling, logic programming, and pi-calculi. This book is a valuable reference for researchers and students interested in this rapidly developing area of theoretical computer science.

This book presents a unified approach to Korovkin-typeapproximation theorems. It includes classical material onthe approximation of real-valuedfunctions as well as recentand new results on set-valued functions and stochasticprocesses, and on weighted approximation. The results arenotonly of qualitative nature, but include quantitativebounds on the order of approximation.The book is addressed to researchers in functional analysisand approximation theory as well as to those that want toapplythese methods in other fields. It is largely self-contained, but the readershould have a solid background inabstract functional analysis.The unified approach is based on a new notion of locallyconvex ordered cones that are not embeddable in vectorspaces but allow Hahn-Banach type separation and extensiontheorems. This concept seems to be of independent interest.

This book presents a unified approach to Korovkin-typeapproximation theorems. It includes classical material onthe approximation of real-valuedfunctions as well as recentand new results on set-valued functions and stochasticprocesses, and on weighted approximation. The results arenotonly of qualitative nature, but include quantitativebounds on the order of approximation.The book is addressed to researchers in functional analysisand approximation theory as well as to those that want toapplythese methods in other fields. It is largely self-contained, but the readershould have a solid background inabstract functional analysis.The unified approach is based on a new notion of locallyconvex ordered cones that are not embeddable in vectorspaces but allow Hahn-Banach type separation and extensiontheorems. This concept seems to be of independent interest.

Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics. This volume contains selected papers presented at the International Symposium on Domain Theory which took place in Shanghai in October 1999. Topics of papers range from the encounters between topology and domain theory, sober spaces, Lawson topology, real number computability and continuous functionals to fuzzy modelling, logic programming, and pi-calculi. This book is a valuable reference for researchers and students interested in this rapidly developing area of theoretical computer science.