- 會議論文
Surjective Isometries between Hilbert C*-Modules
並列摘要
We will show that every surjective linear isometry between Hilbert C*-modules over commutative C*-algebras preserves inner products. More precisely, let E and F be two Hilbert C*-modules over commutative C*-algebras A and B, respectively, and T : E → F a surjective linear isometry from E onto F. We will prove that there is a *-isomorphism α: A → B from A onto B such that (The equation is abbreviated)
被引用紀錄
Tsai, Y. W. (2005). 台灣總體經濟變數與店頭指數相關性之研究 [master's thesis, Tatung University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0081-0607200917235011
Chen, H. C. (2009). 英語閱讀能力測驗之內涵與閱讀能力之評析：以大學學科能力測驗與指定科目考試為例 [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-1610201315172650
Huang, G. C. Y. (2011). 臺灣高中英文教科書問題與活動設計中認知層次與知識型態之分析研究 [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-1610201315250879
彭郁仁（2012）。設計與實作視覺化追蹤點以支援xDIVA進行程式動畫〔碩士論文，國立中央大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0031-1903201314441832
Chung, W. C. (2013). 分散式運算中資源資訊與探索之非集中化管理 [doctoral dissertation, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-2511201311302733
延伸閱讀
- He, B. (2011). A Reverse Hilbert-Type Inequality with a Generalized Homogeneous Kernel. Tamkang Journal of Mathematics, 42(1), 1-7. https://www.airitilibrary.com/Article/Detail?DocID=00492930-201103-201104010034-201104010034-1-7
- Ciurdariu, L. (2011). Some Inequalities in Pseudo-Hilbert Spaces. Tamkang Journal of Mathematics, 42(4), 483-492. https://www.airitilibrary.com/Article/Detail?DocID=00492930-201112-201202150007-201202150007-79-88
- FRÉGIER, Y., Gohr, A., & Silvestrov, S. (2009). Unital Algebras of Hom-associative Type and Surjective or Injective Twistings. Journal of Generalized Lie Theory and Applications, 3(4), 285-295. https://www.airitilibrary.com/Article/Detail?DocID=17365279-200912-201012090051-201012090051-285-295
- Hao, Y., & Cho, S. Y. (2012). Some Results on Strictly Pseudocontractive Nonself-Mappings and Equilibrium Problems in Hilbert Spaces. Abstract and Applied Analysis, 2012(), 225-238-413. https://doi.org/10.1155/2012/543040
- Huang, C. Y. (2007). Hilbert's projective metric and its applications to eigenvalue problems [doctoral dissertation, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-0210200715255103