We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range.
- Authors
Castillo, René Erlin; Rafeiro, Humberto; Ramos-Fernández, Julio C.; Salas-Brown, Margot
- Abstract
We calculate the measure of non-compactness of the multiplication operator M u 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 M u acting on Köthe spaces.
- Subjects
MULTIPLICATION; COMPACT operators; BANACH lattices; SPACE
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2019, Vol 42, Issue 4, p1523
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-017-0562-0