Commutators on Power Series Spaces Over Non-Archimedean Fields
[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] pracownik
2023
rozdział w monografii naukowej
angielski
- commutators
- non-archimedean Köthe spaces
- power series spaces
- shift operators
EN The power series spaces Ar (a) over non-Archimedean fields are the most known and important examples of non-Archimedean nuclear Fréchet spaces. In this paper we prove the following: (1) every operator on a stable power series space is a commutator; (2) every diagonal operator on a weakly stable power series space is a commutator; (3) the identity operator on any unstable power series space is not a commutator.
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