A new class of Banach space with the drop property
2012 ◽
Vol 142
(1)
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pp. 215-224
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Keyword(s):
We discuss a new class of Banach spaces which are wider than the strongly convex spaces introduced by Congxin Wu and Yongjin Li. We prove that the new class of Banach spaces lies strictly between either the class of uniformly convex spaces and strongly convex spaces or the class of fully k-convex spaces and strongly convex spaces. The new class of Banach spaces has inclusive relations with neither the class of locally uniformly convex spaces nor the class of nearly uniformly convex spaces. We obtain in addition some characterizations of this new class of Banach spaces.
Keyword(s):
1984 ◽
Vol 95
(2)
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pp. 325-327
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Keyword(s):
1981 ◽
Vol 90
(2)
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pp. 259-264
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Keyword(s):
1941 ◽
Vol 47
(4)
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pp. 313-318
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Keyword(s):
1977 ◽
Vol 82
(3)
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pp. 369-374
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Keyword(s):
1985 ◽
Vol 97
(3)
◽
pp. 489-490
Keyword(s):
1997 ◽
Vol 209
(2)
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pp. 479-491
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1936 ◽
Vol 40
(3)
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pp. 415-415
1991 ◽
Vol 14
(3)
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pp. 611-614
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