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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.
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참고문헌 (10)
참고문헌 신청
B. Zheng / 2007 / 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) : 288 ~ 295
D. S. Djordjevi´c / 2001 / On the generalized Drazin inverse and generalized resolvent / Czechoslovak Math. J. 51 (3) : 617 ~ 634
D. S. Djordjevi´c / 2005 / Outer generalized inverses in rings / Comm. Algebra 33 (9) : 3051 ~ 3060
E. C. Lance / 1995 / Hilbert C*-modules, A toolkit for operator algebraists / Cambridge University Press
G. K. Pedersen / 1979 / C*-algebras and their automorphism groups / Academic Press, Inc.
D. S. Djordjevi´c / 2001 / On the generalized Drazin inverse and generalized resolvent / Czechoslovak Math. J. 51 (3) : 617 ~ 634
D. S. Djordjevi´c / 2005 / Outer generalized inverses in rings / Comm. Algebra 33 (9) : 3051 ~ 3060
E. C. Lance / 1995 / Hilbert C*-modules, A toolkit for operator algebraists / Cambridge University Press
G. K. Pedersen / 1979 / C*-algebras and their automorphism groups / Academic Press, Inc.
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