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Isometric Dilations of Commuting Contractions and Brehmer Positivity
Journal
Complex Analysis and Operator Theory
ISSN
16618254
Date Issued
2022-07-01
Author(s)
Barik, Sibaprasad
Das, B. Krishna
Abstract
It is well-known that an n-tuple (n≥ 3) of commuting contractions does not posses an isometric dilation, in general. Considering a class of n-tuple of commuting contractions satisfying certain positivity assumption, we construct their isometric dilations and consequently establish their von Neumann inequality. The positivity assumption is related to Brehmer positivity and motivated by the study of isometric dilations of operator tuples in Barik et al. (Trans Amer Math Soc 372(2):1429–1450, 2019).
Volume
16
Publication link
Subjects