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.
|Original language||English (US)|
|Number of pages||12|
|Journal||Bulletin of the Malaysian Mathematical Sciences Society|
|State||Published - Jul 15 2019|
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