On pure contractive semigroups

2024/07/29 by Shubham Rastogi, Rastogi, Shubham, Vijaya Kumar U +1
Engineering · Computer Science · #Control and Stability of Dynamical Systems #Contact Mechanics and Variational Inequalities #Evacuation and Crowd Dynamics

paper · pdf · doi:10.48550/arxiv.2407.19935

Abstract

We find the commutant of a pure contractive semigroup on a Hilbert space. We demonstrate that any tuple of doubly commuting pure contractive semigroups can be dilated to a tuple of doubly commuting pure isometric semigroups. En route, we obtain a complete model for the tuples of doubly commuting isometric semigroups.

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