IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
Autor/es:
GABRIEL LAROTONDA
Revista:
JOURNAL OF OPERATOR THEORY
Editorial:
THETA FOUNDATION
Referencias:
Lugar: Bucharest; Año: 2019 vol. 81 p. 157 - 173
ISSN:
0379-4024
Resumen:
For a semi-finite von Neumann algebra $a$, we study the case of equality in Young´s inequality of $s$-numbers for a pair of $au$-measurable operators $a,b$, and we prove that equality is only possible if $|a|^p=|b|^q$. We also extend the result to unbounded operators affiliated with $a$, and relate this problem with other symmetric norm Young inequalities.
