JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 1987, Vol. 11 ›› Issue (02): 117-121.doi: 10.3969/j.jssn.1000-2006.1987.02.015

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ON THE UNIQUE SUFFICINT CONDITION FOR SUPPORTING FUNCTIONAL

Wang Youjing   

  1. Faculty of Basic Courses
  • Online:1987-06-18 Published:1987-04-18

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.