頁籤選單縮合
題 名 | Best Coapproximation in Metric Linear Spaces |
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作 者 | Narang,T. D.; Singh,S. P.; | 書刊名 | Tamkang Journal of Mathematics |
卷 期 | 30:4 民88.冬 |
頁 次 | 頁241-252 |
分類號 | 313.1 |
關鍵詞 | Best coapproximation; Coproximinal co-semi-chebyshev; Co-chebyshev; Best coapproximation map; |
語 文 | 英文(English) |
英文摘要 | In order to obtain some characterizations of real Hilbert spaces among real Banach spaces, a new kind of approximation, called best coapproximation, was introduced in normed linear spaces by C. Franchetti and M. Furi [3] in 1972. Subsequently, the study was pursued in normed linear spaces and Hilbert spaces by H. Berens, L. Hetzelt, T. D. Narang, P. L. Papini, Geetha S. Rao and her students, Ivan Singer and a few others (see, e. g.,[1],[4],[7],[9],[13 to 15], and [17 to 20]). In this paper, we discuss best coapproximation in metric linear spaces thereby generalizing some of the results proved in [3],[7],[13], and [18]. The problems considered are those of existence of elements of best coapproximation and their characterization, characterizations of coproximinal, co-semi-Chebyshev and co-Chebyshev subspaces, and some properties of the best coapproximation map in metric linears spaces. |
本系統中英文摘要資訊取自各篇刊載內容。