Abstract
Roughly speaking, the approximation problem is the question if it is true, for a given lcs E, that every operator in L (E, E) can be approximated by finite rank operators, uniformly on compact sets. If E is a Banach space, then this is equivalent to asking whether every compact operator from any Banach space with values in E can be approximated by finite rank operators in the operator norm. The problem and most of the results in this area are due to A. Grothendieck [9]. But it was P. Enflo [1] who answered the problem in the negative through a fairly involved counter-example in 1973.
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.
