[
    {
        "id": "osp-13768",
        "type": "article-journal",
        "title": "Finite Dimensional Chebyshev Subspaces of Lo",
        "author": [
            {
                "family": "Kamal",
                "given": "Aref K."
            }
        ],
        "URL": "https://omanscience.com/ar/articles/finite-dimensional-chebyshev-subspaces-of-lo",
        "language": "en",
        "issued": {
            "date-parts": [
                [
                    2017
                ]
            ]
        },
        "container-title": "Sultan Qaboos University Journal for Science",
        "volume": "22",
        "issue": "1",
        "page": "53",
        "DOI": "10.24200/squjs.vol22iss1pp53-55",
        "publisher": "Sultan Qaboos University",
        "ISSN": "2308-3921",
        "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."
    }
]