The Twisted Hilbert Space Ideals

2021/12/07 by Sánchez, Félix Cabello, García, Ricardo · 1 citation
#46M18 #47B10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2112.03852

Abstract

We study those operators on a Hilbert space that can be lifted / extended to any twisted Hilbert space. We prove that these form an ideal of operators which contains all the Schatten classes. We characterize those multiplication operators on ℓ_p that are liftable / extensible through centralizers.

Cited by

• Derived functors associated to the ideal of compact operators in Banach spaces

Related

• Complex structures on twisted Hilbert spaces
• Nonlinear Centralizers in Homology II. The Schatten classes
• Products on Schatten-von Neumann classes and modulation spaces
• Some more twisted Hilbert spaces
• A tuple of multiplication operators defined by twisted holomorphic proper maps