On pure contractive semigroups

Fuente: arXiv
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Autores principales: Rastogi, Shubham, U, Vijaya Kumar
Formato: Preprint
Publicado: 2024
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author Rastogi, Shubham
U, Vijaya Kumar
author_facet Rastogi, Shubham
U, Vijaya Kumar
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_19935
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On pure contractive semigroups
Rastogi, Shubham
U, Vijaya Kumar
Functional Analysis
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.
title On pure contractive semigroups
topic Functional Analysis
url https://arxiv.org/abs/2407.19935