On commuting operator exponentials. II
type: Item
instance of: scholarly article
title: On commuting operator exponentials. II
zbMATH Open document ID: 1280.47023
author: Fotios C. Paliogiannis
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2013-04-25T00:00:00Z
review text: The author treats the question of when the commutativity of the exponentials of normal operators imply that of the latter operators. The idea of proof is partly inspired by [\textit{M. H. Mortad}, Colloq. Math. 125, No. 1, 1--6 (2011; Zbl 1259.47002)]. Then the author generalizes his results to the case when one operator is unbounded and normal. It is worth noticing that this is the first work treating this question in an unbounded operator setting. For Part I, see [Proc. Am. Math. Soc. 131, No.~12, 3777--3781 (2003; Zbl 1069.47018)].
reviewed by: Mohammed Hichem Mortad
Mathematics Subject Classification ID: 47A60
zbMATH DE Number: 6157555
zbMATH Keywords: selfadjoint operator
zbMATH Keywords: normal operator
zbMATH Keywords: commuting normal operator exponentials
zbMATH Keywords: Borel functional calculus
MaRDI profile type: Publication
full work available at URL: s12044-012-0106-3
OpenAlex ID: W1978904431
cites work: A Note on Operators Unitarily Equivalent To Their Adjoints
cites work: Q3223360
cites work: Q3667432
cites work: Exponentials of normal operators and commutativity of operators: a new approach
cites work: On commuting operator exponentials
cites work: The algebra of unbounded continuous functions on a Stonean space and unbounded operators
cites work: On Fuglede's theorem for unbounded normal operators
cites work: On normal operator exponentials
DOI: 10.1007/S12044-012-0106-3
description: scientific article; zbMATH DE number 6157555