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...

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Vydané v:	Journal of mathematical analysis and applications Ročník 519; číslo 1; s. 126705
Hlavný autor:	Nikitopoulos, Evangelos A.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.03.2023
Predmet:	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
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