Trends in Mathematics / Positivity and Noncommutative Analysis

FM.- Ben de Pagter: Curriculum Vitae .- 2-Local automorphisms on AW*-algebras.- Orthosymmetric Archimedean-valued vector lattices.- Arens extensions for polynomials and the Woodbury-Schep formula.- On the endpoints of De Leeuw restriction theorems.- Lebesgue topologies and mixed topologies.- Lattice homomorphisms in harmonic analysis.- Noncommutative Boyd interpolation theorems revisited.- Strict singularity: a lattice approach.- Asymptotics of operator semigroups via the semigroup at infinity.- Markov processes, strong Markov processes and Brownian motion in Riesz spaces.- A solution to the Al-Salam-Chihara moment problem.- The Katowice problem for analysts.- Onefold and twofold Ellis-Gohberg inverse problems for scalar Wiener class functions.- Relatively uniform convergence in partially ordered vector spaces revisited.- Dedekind complete and order continuous Banach C(K)-modules.- Matrix valued Laguerre polynomials.- Weighted Noncommutative Banach Function Spaces.- Majorization for compact and weakly compact polynomials on Banach lattices.- The UMD property for Musielak-Orlicz spaces.- The ls -Boundedness of a Family of Integral Operators on UMD Banach Function Spaces.- Backward stochastic evolution equations in UMD Banach spaces.- On the Lipschitz decomposition problem in ordered Banach spaces and its connections to other branches of mathematics.- Classes of localizable measure spaces.- A residue formula for locally compact noncommutative manifolds.- Regular states and the Regular Algebra Numerical Range.- Bilaplace Eigenfunctions compared with Laplace Eigenfunctions in some special cases.-Representations of the Dedekind completions of spaces of continuous functions.- Joint representation of a Riesz space and its conjugate space.- When do the regular operators between two Banach lattices form a