REMOTALITY OF CERTAIN SETS Lp I,X

Volume: 4 Number: 2 December 1, 2014
  • Sharifa Al-sharif
  • Alhassan Alshorman

REMOTALITY OF CERTAIN SETS Lp I,X

Abstract

Let X be a Banach space and let I, Ω, µ be a measure space. For 1 ≤ p < ∞, let L p I, X denote the space of Bochner p−integrable functions defined on I with values in X. The object of this paper is to give sufficient conditions for remotality of L 1 I, H + L 1 I, G in L 1 I, X , where H and G are two bounded sets in X which include as a special case remotality of L 1 I ∧ ⊗ G + H ∧ ⊗ L 1 I in L 1 I × I .

Keywords

References

  1. Sh. Al-Sharif, On farthest and simultaneous farthest points in K¨othe spaces, Creative Mathematics and Informatics 21(2) (2012), 123 -128.
  2. Sh. Al-Sharif, Remotal sets in the space of p-integrable functions, J. J. M. S, 3 (2) (2010) , 117-126.
  3. E. Asplund, Farthest points in reflexive locally uniformly rotund Banach spaces, Israel J. Math. (1966) , 213-216.
  4. M. Baronti, A note on remotal sets in Banach spaces, Publication de L’Institue Math. 53(1993) , − 98.
  5. M. Baronti and P. L. Paini, Remotal sets revised, Taiwanese J. Math. 5(2001) , 367-373.
  6. A. P. Boszany, A remark on uniquely remotal sets in C (K, X) , Period. Math. Hunger. 12(1981) , 14.
  7. W. Deeb and R. Khalil, Best approximation in LP(I, X) , 1 < p
  8. J. Diestel and J. R. Uhl,Vector Measure, Math. Surveys Monographs, Amer. Math. 4(15) (1966) , 176.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Sharifa Al-sharif This is me

Alhassan Alshorman This is me

Publication Date

December 1, 2014

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2014 Volume: 4 Number: 2

APA
Al-sharif, S., & Alshorman, A. (2014). REMOTALITY OF CERTAIN SETS Lp I,X. TWMS Journal of Applied and Engineering Mathematics, 4(2), 209-215. https://izlik.org/JA79MW28LS
AMA
1.Al-sharif S, Alshorman A. REMOTALITY OF CERTAIN SETS Lp I,X. JAEM. 2014;4(2):209-215. https://izlik.org/JA79MW28LS
Chicago
Al-sharif, Sharifa, and Alhassan Alshorman. 2014. “REMOTALITY OF CERTAIN SETS Lp I,X”. TWMS Journal of Applied and Engineering Mathematics 4 (2): 209-15. https://izlik.org/JA79MW28LS.
EndNote
Al-sharif S, Alshorman A (December 1, 2014) REMOTALITY OF CERTAIN SETS Lp I,X. TWMS Journal of Applied and Engineering Mathematics 4 2 209–215.
IEEE
[1]S. Al-sharif and A. Alshorman, “REMOTALITY OF CERTAIN SETS Lp I,X”, JAEM, vol. 4, no. 2, pp. 209–215, Dec. 2014, [Online]. Available: https://izlik.org/JA79MW28LS
ISNAD
Al-sharif, Sharifa - Alshorman, Alhassan. “REMOTALITY OF CERTAIN SETS Lp I,X”. TWMS Journal of Applied and Engineering Mathematics 4/2 (December 1, 2014): 209-215. https://izlik.org/JA79MW28LS.
JAMA
1.Al-sharif S, Alshorman A. REMOTALITY OF CERTAIN SETS Lp I,X. JAEM. 2014;4:209–215.
MLA
Al-sharif, Sharifa, and Alhassan Alshorman. “REMOTALITY OF CERTAIN SETS Lp I,X”. TWMS Journal of Applied and Engineering Mathematics, vol. 4, no. 2, Dec. 2014, pp. 209-15, https://izlik.org/JA79MW28LS.
Vancouver
1.Sharifa Al-sharif, Alhassan Alshorman. REMOTALITY OF CERTAIN SETS Lp I,X. JAEM [Internet]. 2014 Dec. 1;4(2):209-15. Available from: https://izlik.org/JA79MW28LS