On pure contractive semigroups

Shubham Rastogi; Vijaya Kumar U

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arXiv · 2407.19935

On pure contractive semigroups

Shubham Rastogi·Vijaya Kumar U

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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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Shubham Rastogi, Vijaya Kumar U. 2024-07-29. On pure contractive semigroups. https://arxiv.org/abs/2407.19935

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