논문KCI 등재
THE GENERALIZED INVERSES [수식] OF THE ADJOINTABLE OPERATORS ON THE HILBERT C*-MODULES
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초록
In this paper, we introduce and study the generalized inverse [수식]with the prescribed range T and null space S of an adjointable operator A from one Hilbert C*-module to another, and get some analogous results known for finite matrices over the complex field or associated rings,and the Hilbert space operators.
Abstract
In this paper, we introduce and study the generalized inverse [수식]with the prescribed range T and null space S of an adjointable operator A from one Hilbert C*-module to another, and get some analogous results known for finite matrices over the complex field or associated rings,and the Hilbert space operators.
참고문헌 (10)
- D. S. Djordjevi´c, "On the generalized Drazin inverse and generalized resolvent", Czechoslovak Math. J., 51(3), pp.617~634 (2001)
- D. S. Djordjevi´c, "Outer generalized inverses in rings", Comm. Algebra, 33(9), pp.3051~3060 (2005)
- J. J. Koliha, "A generalized Drazin inverse", Glasgow Math. J., 38(3), pp.367~381 (1996)
- E. C. Lance, "Hilbert C*-modules, A toolkit for operator algebraists" (1995), Cambridge University Press
- G. K. Pedersen, "C*-algebras and their automorphism groups" (1979), Academic Press, Inc.
- G. Wang, "Generalized Inverses: theory and computations" (2004), Science Press
- Y. Wei, "A characterization and representation of the generalized inverse A(2) T,S and its applications", Linear Algebra Appl., 280(2), pp.87~96 (1998)
- Q. Xu, "Positive semi-definite matrices of adjointable operators on Hilbert C*-modules", Linear Algebra Appl., 428(4), pp.992~1000 (2008)
- Y. Yu, "The generalized inverse A(2) T,S of a matrix over an associative ring", J. Aust. Math. Soc., 83(3), pp.423~437 (2007)
- B. Zheng, "Existence and expressions for the generalized inverse A(2) T,S of linear operators on Hilbert spaces", Acta Math. Sci. Ser. A Chin. Ed., 27(2), pp.288~295 (2007)
관련 논문AI추천
Note on the Generalized Invertibility of a-xyFapeng Du, Yifeng Xue경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호Weighted Moore--Penrose inverses of adjointable operators on indefinite inner-product spacesAli Zamani, Mengjie Qin, Qingxiang Xu대한수학회 · 대한수학회지2020 · 제57권 제3호Characterizations and the Moore-Penrose inverse of hypergeneralized k-projectorsMarina Tosic대한수학회 · 대한수학회보2014 · 제51권 제2호Rhombic numerical radius inequalities for Hilbert $C^{*}$-ModulesMohammed Hassaouy, NordineBounader대한수학회 · 대한수학회논문집2024 · 제39권 제4호Fuzzy Hilbert $C^*$-modules박춘길, Morteza Essmaili, Reza Chaharpashlou강원경기수학회 · 한국수학논문집2025 · 제33권 제2호Right and left quotient of two bounded operators on Hilbert spacesMohammed Benharrat대한수학회 · 대한수학회논문집2020 · 제35권 제2호
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