On certain binary functions in operator algebras
type: Item
instance of: scholarly article
title: On certain binary functions in operator algebras
zbMATH Open document ID: 0864.34055
author: Peter Volkmann
author: Ray Redheffer
published in: Journal of Differential Equations
publication date: 1997-06-23T00:00:00Z
review text: As seen by the authors [Math. Ann. 239, 97-110 (1979; Zbl 0417.34097), J. Differ. Equation 78, No. 1, 136-143 (1989; Zbl 0671.34013) and ibid. 130, No. 2, 356-367 (1996; review below)], certain binary expressions \[ \lceil p,q\rceil_a,\quad\lceil p,q\rceil_b, \quad\lceil p,q\rceil_c,\quad\lceil p,q\rceil_d \] play a fundamental role in the theory of differential equations in operator algebras. Their usefulness depends on equivalences such as \[ \lceil p,q\rceil_b=\lceil p,q\rceil_d,\quad\lceil p,q\rceil_a=\lceil p,q\rceil_c \] that are by no means obvious. The first of these is used in the first cited paper and is proved there. The second, which is needed in the last cited paper, is more subtle and the proof was postponed with a view to presenting it separately.
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34L25
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 34A40
zbMATH DE Number: 946934
zbMATH Keywords: differential equations in operator algebras
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0149
OpenAlex ID: W2084085681
DOI: 10.1006/JDEQ.1996.0149
description: scientific article; zbMATH DE number 946934