A Class of Sets in a Banach Space Coarser Than Limited Sets
نویسندگان
چکیده
A wide new class of subsets a Banach space X named coarse p-limited sets ( $$ 1\le p < \infty ) is introduced by considering weak* p-summable sequences in $$X'$$ instead null sequences. We study its basic properties and compare it with the compact weakly sets. Results concerning relationship operators are obtained.
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ژورنال
عنوان ژورنال: Bulletin Of The Brazilian Mathematical Society, New Series
سال: 2022
ISSN: ['1678-7544', '1678-7714']
DOI: https://doi.org/10.1007/s00574-022-00290-z