Positivity

The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome.

The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.

This includes the following areas.

ordered topological vector spaces (including Banach lattices and ordered Banach spaces)
positive and order bounded operators (including spectral theory, operator equations, ergodic theory, approximation theory and interpolation theory)
Banach spaces (including their geometry, unconditional and symmetric structures, non-commutative function spaces and asymptotic theory)
C and other operator algebras (especially non-commutative order theory)
geometric and probabilistic aspects of functional analysis
partial differential equations (including maximum principles, diffusion, elliptic and parabolic equations, and subsolutions)
positive solutions for functional equations
positive semigroups
potential theory and harmonic functions
harmonic analysis
variational analysis and variational inequalities
optimization and optimal control
convex and nonsmooth analysis
complementarity theory
maximal element principles
measure theory (including Boolean algebras and stochastic processes)
non-standard analysis and Boolean valued models
Applications of the above fields to other disciplines and areas