Mean Ergodic Weighted Shifts on Köthe Echelon Spaces
نویسندگان
چکیده
Abstract Necessary and sufficient conditions are given for mean ergodicity, power boundedness, topologizability weighted backward shift forward operators, respectively, on Köthe echelon spaces in terms of the weight sequence matrix. These evaluated special case series which allow a characterization said properties many cases. In order to demonstrate applicability our conditions, we study above several classical operators certain function spaces.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2023
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-023-01951-1