On the frame of the unit ball of Banach spaces
Keyword(s):
AbstractThe notion of the frame of the unit ball of Banach spaces was introduced to construct a new calculation method for the Dunkl-Williams constant. In this paper, we characterize the frame of the unit ball by using k-extreme points and extreme points of the unit ball of two-dimensional subspaces. Furthermore, we show that the frame of the unit ball is always closed, and is connected if the dimension of the space is not less than three. As infinite dimensional examples, the frame of the unit balls of c 0 and ℓ p are determined.
1986 ◽
Vol 29
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pp. 271-282
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2014 ◽
Vol 90
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pp. 304-310
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2005 ◽
Vol 72
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pp. 299-315
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2003 ◽
Vol 2003
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pp. 101-110
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2014 ◽
Vol 57
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pp. 42-50
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1979 ◽
Vol 30
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pp. 640-643
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2001 ◽
Vol 33
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pp. 443-453
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