ON THE UNIQUE SUFFICINT CONDITION FOR SUPPORTING FUNCTIONAL

Wang Youjing

Journal of Nanjing Forestry University (Natural Sciences Edition） ›› 1987, Vol. 11 ›› Issue (02) : 117-121.

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南京林业大学学报（自然科学版）
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Journal of Nanjing Forestry University (Natural Sciences Edition） ›› 1987, Vol. 11 ›› Issue (02) : 117-121. DOI: 10.3969/j.jssn.1000-2006.1987.02.015

ON THE UNIQUE SUFFICINT CONDITION FOR SUPPORTING FUNCTIONAL

  • Wang Youjing
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Abstract

Suppose that X is a Banach space, and S is the unity sphere, then for any point X0 S, supporting functional exists.The theorem we shall prove in this paper is as follows: Suppose that X0 S and there exist p>0, q>0, p+q=1, such thatlim sup then the supporting functional of S at point X0 is unique.

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Wang Youjing. ON THE UNIQUE SUFFICINT CONDITION FOR SUPPORTING FUNCTIONAL[J]. Journal of Nanjing Forestry University (Natural Sciences Edition）. 1987, 11(02): 117-121 https://doi.org/10.3969/j.jssn.1000-2006.1987.02.015
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