Description 
1 online resource 
Series 
Trends in mathematics, 22970215 

Trends in mathematics, 22970215

Contents 
Preface  Dedication  Coenraad Christoffel Andries Labuschagne  Inverse monotonicity of elliptic operators invariational form  On compact operators between lattice normed spaces  How to be positive in natural sciences?  Real positive maps and conditional expectations on operator algebras  Free vector lattices and free vector lattice algebras  On disjointness, bands and projections in partially ordered vector spaces  101 years of vector lattice theory  a vector latticevalued Daniell integral  Ergodicity in Riesz spaces  Multiplicative representation of realvalued biRiesz homomorphisms on partially ordered vector spaces  Orthogonality: An antidote to Kadison's antilattice theorem  Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot  On fixed point theory in partially ordered (quasi )metric spaces and an application to complexity analysis of algorithms  Inheritance properties of positive cones induced by subalgebras and quotients of ordered Banach algebras  Universally complete spaces of continuous functions  Applications of generalized B algebras to quantum mechanics 
Summary 
This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators on such spaces, abstract stochastic processes in an ordered setting, the theory and applications of positive semigroups to partial differential equations, Hilbert geometries, positivity in Banach algebras and, in particular, operator algebras, as well as applications to mathematical economics and financial mathematics. The contributions in this book reflect the variety of topics discussed at the conference. They will be of interest to researchers in functional analysis, operator theory, measure and integration theory, operator algebras, and economics. Positivity X was dedicated to the memory of our late colleague and friend, Coenraad Labuschagne. His untimely death in 2018 came as an enormous shock to the Positivity community. He was a prominent figure in the Positivity community and was at the forefront of the recent development of abstract stochastic processes in a vector lattice context 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed July 30, 2021) 
Subject 
Ordered topological spaces  Congresses


Operator theory  Congresses


Positive operators  Congresses


Teoría de operadores


Espacios topológicos ordenados


Operator theory


Ordered topological spaces


Positive operators

Genre/Form 
proceedings (reports)


Conference papers and proceedings


Conference papers and proceedings.


Actes de congrès.

Form 
Electronic book

Author 
Kikianty, Eder, editor


Mabula, Mokhwetha, editor


Messerschmidt, Miek, editor


Walt, Jan Harm van der, editor


Wortel, Marten, editor

ISBN 
9783030709747 

3030709744 
