We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of Mu acting on Köthe spaces.
|Number of pages||12|
|Journal||Bulletin of the Malaysian Mathematical Sciences Society|
|Publication status||Published - Jul 15 2019|
- Banach lattice
- Köthe spaces
- Multiplication operator
ASJC Scopus subject areas