Three-operator problems in Banach spaces

ABSTRACT: We study the analogue of 3-space problems for classes of operators acting on Banach spaces. We show examples of classes of operators having or failing the 3-operator property, and give several methods to obtain classes with this property.The research of the first author was supported in part by Project IB16056 de la Junta de Extremadura; that of the first and third authors was supported in part by MINECO (Spain), Project MTM2016-76958. This paper benefited from a stay in 2016 of Castillo and González at Kanagawa University invited by Prof. Cho

Spectral Area Estimates For Norms Of Commutators

Let $A$ and $B$ be commuting bounded linear operators on a Hilbert space. In this paper, we study spectral area estimates for norms of $A^*B - BA^*$ when $A$ is subnormal or $p$-hyponormal

On a conjugation and a linear operator (The research of geometric structures in quantum information based on Operator Theory and related topics)

In this note, we introduce the study of some classes of operators concerning with conjugations on a complex Hilbert space