L p + L q and L p ∩ L q are not isomorphic for all 1 ≤ p , q ≤ ∞, p ≠ q
نویسندگان
چکیده
منابع مشابه
KADEC-KLEE PROPERTIES FOR L(`p, `q)
It is proved that L(`p, `q) has the KK property if and only if it has the UKK property if and only if 1 < q < 2 < p < ∞. It is also proved that L(c0, `1) has the UKK property and that L(c0, `q) can be renormed to have the weak-star UKK property if (and only if) 1 ≤ q < 2. In all other cases L(`p, `q) has no equivalent UKK norm. Finally, it is proved that none of these spaces is either strictly ...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2018
ISSN: 1631-073X
DOI: 10.1016/j.crma.2018.04.019