Relative compactness of orbits and geometry of Banach spaces
نویسندگان
چکیده
We investigate for a bounded semigroup of linear operators S on Banach space E and vector x∈E, when relative compactness S(I−T)x every T∈S implies the orbit Sx. In particular, we derive characterizations separable spaces not containing c0 reflexivity with Schauder basis in terms such results.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2020.124660