Curvature colligations
type: Item
instance of: scholarly article
title: Curvature colligations
zbMATH Open document ID: 0531.47037
DOI: 10.1007/BF01204913
author: Hillel Gauchman
published in: Integral Equations and Operator Theory
publication date: 1984-01-01T00:00:00Z
review text: This paper is a continuation of [Toeplitz centennial, Toeplitz Mem. Conf., Tel Aviv 1981, Operator Theory, Adv. Appl. 4, 271-302 (1982; Zbl 0485.47028); Integral Equations Oper. theory 6, 31-58 (1983; Zbl 0516.46050); ibid. 6, 184-205 (1983; Zbl 0516.46051)]. It is shown that the curvature operators of a connection colligation may be included in a natural way in an operator colligation. This operator colligation is called the curvature colligation. As an application it is shown that if several operators are included in an operator colligation, then all their commutators may be included in a natural way in a new operator colligation. In particular a notion of the commutator of two operator colligations is obtained.
Mathematics Subject Classification ID: 47D99
Mathematics Subject Classification ID: 53B05
zbMATH DE Number: 3842558
zbMATH Keywords: curvature operators of a connection colligation
zbMATH Keywords: curvature colligation
zbMATH Keywords: commutator of two operator colligations
MaRDI profile type: Publication
cites work: Q3945098
cites work: Connection colligations on Hilbert bundles
cites work: Connection colligations of the second order
cites work: Q5731354
full work available at URL: https://doi.org/10.1007/bf01204913
OpenAlex ID: W4235023072
description: scientific article; zbMATH DE number 3842558