Juan Alberto Molina García
Independent researcher, Spain
Publications
-
Review Article
Approximate Noncommutative Dynamics and Spectral Entropy on Non-Separable Banach Spaces
Author(s): Juan Alberto Molina García*
This article develops a general framework for analysing approximate noncommutative dynamics on non-separable Banach spaces, extending classical ideas from operator theory, ergodic theory and noncommutative analysis beyond the restrictions of separability, countability and measurable functional calculus. We introduce the notion of an ε-noncommutative dynamical scheme, a family of bounded linear operators (T_t )_(t∈R) acting on a non-separable Banach space Xand satisfying only approximate multiplicativity, �?�T_(t+s)-T_t T_s�?�≤ε(t,s) where the error function εobeys temperedness and asymptotic consistency. This notion enables the study of operator families whose algebraic structure or continuity properties fail to meet classical semigroup axioms, as typically occurs in non-separable L^∞ (μ), l^∞, and C(.. Read More»