Errata and addendum: tensor products and Dunford–Pettis sets
2007 ◽
Vol 143
(2)
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pp. 387-390
Keyword(s):
AbstractGhenciu and Lewis introduced the notion of a strong Dunford–Pettis set and used this notion to study the presence or absence of isomorphic copies of c0 in Banach spaces. The authors asserted that they could obtain a fundamental result of J. Elton without resorting to Ramsey theory. While the stated theorems are correct, unfortunately there is a flaw in the proof of the first theorem in the paper which also affects subsequent corollaries and theorems. The difficulty is discussed, and Elton's results are employed to establish a Schauder basis proposition which leads to a quick proof of the theorem in question. Additional results where questions arise are discussed on an individual basis.
Keyword(s):
2017 ◽
Vol 68
(4)
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pp. 1247-1260
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1971 ◽
Vol 23
(1)
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pp. 27-39
1975 ◽
Vol 4
(2)
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pp. 306-334
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1991 ◽
Vol 44
(1)
◽
pp. 75-90
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Keyword(s):
2016 ◽
Vol 111
(3)
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pp. 841-853
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