TY - JOUR
T1 - Multiplication Operator on Köthe Spaces
T2 - Measure of Non-compactness and Closed Range
AU - Castillo, René Erlin
AU - Rafeiro, Humberto
AU - Ramos-Fernández, Julio C.
AU - Salas-Brown, Margot
N1 - Publisher Copyright:
© 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.
PY - 2019/7/15
Y1 - 2019/7/15
N2 - 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.
AB - 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.
KW - Banach lattice
KW - Köthe spaces
KW - Multiplication operator
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U2 - 10.1007/s40840-017-0562-0
DO - 10.1007/s40840-017-0562-0
M3 - Article
AN - SCOPUS:85067416651
SN - 0126-6705
VL - 42
SP - 1523
EP - 1534
JO - Bulletin of the Malaysian Mathematical Sciences Society
JF - Bulletin of the Malaysian Mathematical Sciences Society
IS - 4
ER -