翻訳と辞書 Words near each other ・ James Zar ・ James Zavitz ・ James Zehner ・ James Zetek ・ James Zhang ・ James Zimri Sellar ・ James Zogby ・ James Zotiah ・ James Zug ・ James Zumberge ・ James Zwerg ・ James “Pappy” Ricks ・ James! Don't Be a Fool ・ James! How Dare You ・ James' Journey to Jerusalem ・ James' space ・ James' sportive lemur ・ James' Sum Tyneside Sangs 1898 ・ James' theorem ・ James's flamingo ・ James's Fort ・ James's gerbil ・ James, Azadanus and Abdicius ・ James, California ・ James, Duke of Rothesay ・ James, Duke of Rothesay (born 1507) ・ James, Duke of Rothesay (born 1540) ・ James, Hoyer, Newcomer & Smiljanich, P.A. ・ James, Iowa ・ James, North Carolina Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク James' space ： ウィキペディア英語版 James' space In the area of mathematics known as functional analysis, James' space is an important example in the theory of Banach spaces and commonly serves as useful counterexample to general statements concerning the structure of general Banach spaces. The space was first introduced in 1950 in a short paper by Robert C. James.〔James, Robert C. ''A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space.'' Proceedings of the National Academy of Sciences of the United States of America 37, no. 3 (March 1951): 174–77.〕 James' space serves as an example of a space that is isometrically isomorphic to its double dual, while not being reflexive. Furthermore, James' space has a basis, while having no unconditional basis. == Definition == Let $\backslash mathcal$ denote the family of all finite increasing sequences of integers of odd length. For any sequence of real numbers $x=(x\_n)$ and $p\; =\; (p\_1,p\_2,\backslash ldots,p\_)\; \backslash in\; \backslash mathcal$ we define the quantity : $\backslash |x\backslash |\_p\; :=\; \backslash left(\; x\_^n\; (x\_\})^2\; \backslash right)^.$ James' space, denoted by J, is defined to be all elements ''x'' from ''c''0 satisfying , endowed with the norm $\backslash |x\backslash |\; :=\; \backslash sup\backslash \; \backslash \; (x\backslash in\; \backslash mathbf)$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「James' space」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.