Abstract
In this paper, we study the σ-tensor norm (ασ), the absolutely τ-summing operator and the σ-nuclear operator. We characterize the ασ-approximation property in terms of some density of the space of absolutely τ-summing operators. When X* or Y*** has the approximation property, we prove that an operator T from X to Y is σ-nuclear if the adjoint of T is σ-nuclear.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
