Perturbation theory for property (V<inf>e</inf>) and tensor product

Abstract:

Given a complex Banach space X, we investigate the stable character of the property (VE ) for a bounded linear operator T: X → X, under commuting perturbations that are Riesz, compact, algebraic and hebkp_reditarily polaroid. We also analyze sufficient conditions that allow the transfer of property (VE ) from the tensorial factors T and S to its tensor product.

Año de publicación:

2021

Keywords:

• tensor product
• Semi-Fredholm operator
• Property (V ) E
• Commuting perturbations

Fuente:

scopus