IJPAM: Volume 119, No. 2 (2018)

Title

BALL REMOTALLY IN TENSOR PRODUCT SPACES

Authors

M. Iranmanesh$^1$, F. Soleimany$^2$
$^{1,2}$Department of Mathematical Sciences
Shahrood University of Technology
P.O. Box 3619995161-316, Shahrood, IRAN

Abstract

In the paper, we study Banach spaces $X, Y$ with subspaces $ H, G $ whose unit ball $ H\otimes G $ is remotal in tensor product space $ X\otimes Y$.

History

Received: February 2, 2017
Revised: August 19, 2017
Published: June 23, 2018

AMS Classification, Key Words

AMS Subject Classification: 46B20, 41A50, 46B28
Key Words and Phrases: Farthest points, Ball remotally, Tensor product space

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Bibliography

1
E. Asplund, Farthest points in reflexive locally uniformly rotund Banachspaces, Isr. J. Math, 4 (1966)213-216.

2
P. Bandyopadhyay, B. L. Lin, T. S. S. R. K. Rao, Ball remotal subspaces ofBanach spaces, Colloq. Math, 114 (2009)119-133.

3
P. Bandyopadhyay, Y. J. Li, B.-L. Lin, D. Narayana, “Proximinality in Banach spaces, J.Math.Anal.Appl, 341,(1) 309–317, 2008.

4
P. Bandyopadhayay,T. Paul, A. K. Roy, Ball remotality of M-idealsin some function spaces and function algebras, Positivity, 14 no 3, (2010)459-471.

5
R. Deville, V. E. Zizler, Farthest points in w*-compact sets, Bull. Austral. Math. Soc., 38(1988)433-439.

6
M. Edelstein, Farthest points of sets in uniformly convex Banach spaces,Isr. J. Math, 4 (1966) 171-176.

7
C. Franchetti, I. Singer, Deviation and farthest points in normed linearspaces, Rom. J. Pure. Appl. Math, 24 (1979)373-381.

8
R. Khalil, N. Matar, Every strongly remotal subset in Banach spaces is a singleton, British J. Math. andComput. Sci., 5,(2015), 28-34.

9
K.S. Lau, Farthest points in weakly compact sets, Isr J. Math, 22 (1975), 168-174.

10
W. A. Light , E. W Cheny, Approximation theory in tensor product spaces, Lectuer Notes in Mathemathic 1169, 1985.

11
A. Maaden, On the C-Farthest points. Extracta Mathematicae, 16 (2), (2001)211-222.

12
T.D. Narang, A study of farthest point, Nieuw Arch. Wisk, 25(1977)54-79.

13
R. A. Ryan,Introduction to tensor products of Banach spaces,Springer-Verlag London Berlin, 2002.

How to Cite?

DOI: 10.12732/ijpam.v119i2.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 2
Pages: 295 - 307


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