Higher derivatives of operator functions in ideals of von Neumann algebras

Let M be a von Neumann algebra and a be a self-adjoint operator affiliated with M. We define the notion of an “integral symmetrically normed ideal” of M and introduce a space OC[k](R)⊆Ck(R) of functions R→C such that the following holds: for any integral symmetrically normed ideal I of M and any f∈O...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of mathematical analysis and applications Jg. 519; H. 1; S. 126705
1. Verfasser:	Nikitopoulos, Evangelos A.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 01.03.2023
Schlagworte:	Fréchet derivative Functional calculus Measurable operator Multiple operator integral Noncommutative Banach function space Symmetrically normed ideal Noncommutative Banach function space Multiple operator integral Measurable operator Fréchet derivative Symmetrically normed ideal Functional calculus
ISSN:	0022-247X, 1096-0813
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!