3 papers
math.FA2018
Subspaces that can and cannot be the kernel of a bounded operator on a Banach space
Niels Jakob Laustsen, Jared T. White
Given a Banach space , we ask which closed subspaces may be realised as the kernel of a bounded operator . We prove some positive results which imply in particu…
math.FA2018
Left ideals of Banach algebras and dual Banach algebras
Jared T. White
We investigate topologically left Noetherian Banach algebras. We show that if is a compact group, then is topologically left Noetherian if and only if is metr…
math.FA2017
The radical of the bidual of a Beurling algebra
Jared T. White
We prove that the bidual of a Beurling algebra on , considered as a Banach algebra with the first Arens product, can never be semisimple. We then show that ${\rm rad\,}…