Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589623 | Journal of Functional Analysis | 2016 | 11 Pages |
Abstract
Let E be the Banach space constructed by Read [10] such that the Banach algebra B(E)B(E) of bounded operators on E admits a discontinuous derivation. We show that B(E)B(E) has a singular, admissible extension which splits algebraically, but does not split strongly. This answers a natural question going back to the work of Bade, Dales, and Lykova [1], and complements recent results of Laustsen and Skillicorn [6].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tomasz Kania, Niels Jakob Laustsen, Richard Skillicorn,