頁籤選單縮合
題 名 | Approximation Numbers of Matrix Transformations and Inclusion Maps |
---|---|
作 者 | Gupta, M.; Acharya, L. R.; | 書刊名 | Tamkang Journal of Mathematics |
卷 期 | 42:2 2011.夏[民100.夏] |
頁 次 | 頁193-203 |
分類號 | 313.79 |
關鍵詞 | Approximation numbers; Matrix transformations; Sequence spaces; |
語 文 | 英文(English) |
英文摘要 | In this paper we establish relationships of the approximation numbers of matrix transformations acting between the vector-valued sequence spaces spaces of the type λ(X) defined corresponding to a scalar-valued sequence space λ and a Banach space (X, ||. ||) as λ(X)={(average)x={x(subscript i)}: x(subscript i) ∈ X, ∀ i ∈ N, {||x(subscript i)||(subscript X)}∈λ}; with those of their component operators. This study leads to a characterization of a diagonal operator to be approximable. Further, we compute the approximation numbers of inclusion maps acting between ℓ(superscript p) (X) spaces for 1≤p≤∞. |
本系統中英文摘要資訊取自各篇刊載內容。