Fractional powers on noncommutative L for p < 1

Autor:	Éric Ricard
Rok vydání:	2018
Předmět:	Pure mathematics Homogeneous General Mathematics 010102 general mathematics 0103 physical sciences 010307 mathematical physics 0101 mathematics 01 natural sciences Noncommutative geometry Functional calculus Mathematics
Zdroj:	Advances in Mathematics. 333:194-211
ISSN:	0001-8708
Popis:	We prove that the homogeneous functional calculus associated to x ↦ | x | θ or x ↦ sgn ( x ) | x | θ for 0 θ 1 is θ-Holder on selfadjoint elements of noncommutative L p -spaces for 0 p ⩽ ∞ with values in L p / θ . This extends an inequality of Birman, Koplienko and Solomjak also obtained by Ando.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::92e7beb147aa093b38ff20011577e611 https://doi.org/10.1016/j.aim.2018.05.024 Zobrazit plný text záznamu Full Text from ScienceDirect