A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Norm attaining operators and simultaneously continuous retractions
1982
Proceedings of the American Mathematical Society
Preserved Fulltext
A compact metric space S is constructed and it is shown that there is a bounded linear operator T : L1 [0,1] -► C(S) which cannot be approximated by a norm attaining operator. Also it is established that there does not exist a retract of L°° [0,1] onto its unit ball which is simultaneously weak* continuous and norm uniformly continuous.
doi:10.1090/s0002-9939-1982-0674091-6
fatcat:i5xdmoudsbc65m6udtyk7cqmre