Disjointly non-singular operators: Extensions and local variations
نویسندگان
چکیده
The disjointly non-singular (DN-S) operators T∈L(E,Y) from a Banach lattice E to space Y are those which strictly singular in no closed subspace generated by disjoint sequence of non-zero vectors. When is order continuous with weak unit, can be represented as dense ideal some L1(μ) space, and we show that each T∈DN-S(E,Y) admits an extension T‾∈DN-S(L1(μ),PO), where PO certain derive both T T⁎⁎ tauberian the operator Tco:E⁎⁎/E→Y⁎⁎/Y induced (into) isomorphism. Also, using local variation notion DN-S operator, ultrapowers also operators. Moreover, when contains copies c0 implies T⁎⁎∈DN-S(E⁎⁎,Y⁎⁎).
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2024
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2023.127685