Abstract
If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX there is a point y0ÎA such that the distance between x and A; d(x, A) = inf{||x-y||: yÎA}= ||x-y0||. The element y0 is called a best approximation for x from A. If for each xÎX, the best approximation for x from A is unique then the subset A is called a Chebyshev subset of X. In this paper the author studies the existence of finite dimensional Chebyshev subspaces of Lo.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol22iss1pp53-55
- Journal
- Sultan Qaboos University Journal for Science, 22(1), 53
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Kamal, A. K. (2017). Finite Dimensional Chebyshev Subspaces of Lo. Sultan Qaboos University Journal for Science, 22(1), 53. https://doi.org/10.24200/squjs.vol22iss1pp53-55
MLA 9
Kamal, Aref K. "Finite Dimensional Chebyshev Subspaces of Lo." Sultan Qaboos University Journal for Science, vol. 22, no. 1, 2017, pp. 53. https://doi.org/10.24200/squjs.vol22iss1pp53-55.
Chicago (author–date)
Kamal, Aref K. 2017. "Finite Dimensional Chebyshev Subspaces of Lo." Sultan Qaboos University Journal for Science 22 (1): 53. https://doi.org/10.24200/squjs.vol22iss1pp53-55.
Harvard
Kamal, A. K. (2017) 'Finite Dimensional Chebyshev Subspaces of Lo', Sultan Qaboos University Journal for Science, 22(1), pp. 53. doi:10.24200/squjs.vol22iss1pp53-55.
Vancouver
Kamal AK. Finite Dimensional Chebyshev Subspaces of Lo. Sultan Qaboos University Journal for Science. 2017;22(1):53. doi:10.24200/squjs.vol22iss1pp53-55
IEEE
A. K. Kamal, "Finite Dimensional Chebyshev Subspaces of Lo," Sultan Qaboos University Journal for Science, vol. 22, no. 1, pp. 53, 2017, doi: 10.24200/squjs.vol22iss1pp53-55.