Abstract
The connection between the approximation property and certain classes of locally convex spaces associated with the ideal 𝔊 of approximable operators will be discussed. It will be shown that a Frechet Montel space has the approximation property iff it is a mixed 𝔊-space, or equivalently, iff its strong dual is a 𝔊-space. Similarly, a Silva space has the approximation property iff it is a mixed 𝔊-space or equivalently iff it is a 𝔊-space. We shall also show that a Frechet Schwartz space with the bounded approximation property is always a 𝔊-space.
Sign-in/Register to access full text options 
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.
