Sur la propriété TB pour les idéaux de Schatten | Synapse
March 3, 2026Open Access
Sur la propriété TB pour les idéaux de Schatten
Key Points
Property TB is equivalent to property T across any Schatten ideal for p greater than 1, indicating a significant relationship.
Kazhdan's property T and its implications are analyzed through the lens of Schatten ideals in functional analysis.
The proof confirms that structures defined by Schatten ideals maintain their properties through the equivalence of property T and TB.
This work strengthens the understanding of these mathematical properties and their implications in various fields.
Abstract
It is proved that property T of Kazdhan is equivalent to property TB of Bader, Furman, Gelander and Monod whenever B is any Schatten ideal Sp(H), p > 1.