메뉴 건너뛰기




Volumn 60, Issue 3, 2008, Pages 419-433

Moore-penrose inverse in Krein spaces

(1)  Mary, Xavier a  

a CREST   (France)

Author keywords

Indefinite inner product; Krein space; Moore Penrose inverse; Unbounded operators

Indexed keywords


EID: 40849096537     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00020-008-1562-0     Document Type: Article
Times cited : (12)

References (19)
  • 1
    • 0346799098 scopus 로고    scopus 로고
    • The Schur Algorithm, Reproducing Kernel Spaces and System Theory
    • D. Alpay. The Schur Algorithm, Reproducing Kernel Spaces and System Theory. SMF/AMS Texts Monogr., 2001.
    • (2001) SMF/AMS Texts Monogr
    • Alpay, D.1
  • 3
    • 84972858904 scopus 로고
    • A note on commutativity of a linear operators and its Moore-Penrose inverse
    • K.G. Brock. A note on commutativity of a linear operators and its Moore-Penrose inverse. Numer. Funct. Anal. Optim., 11:673-678, 1990.
    • (1990) Numer. Funct. Anal. Optim , vol.11 , pp. 673-678
    • Brock, K.G.1
  • 4
    • 0015977083 scopus 로고
    • A generalization of the Schur complement by means of the Moore-Penrose inverse
    • T. Markham, D. Carlson and E. Haynsworth. A generalization of the Schur complement by means of the Moore-Penrose inverse. SIAM J. Appt. Math., 26:169-175, 1974.
    • (1974) SIAM J. Appt. Math , vol.26 , pp. 169-175
    • Markham, T.1    Carlson, D.2    Haynsworth, E.3
  • 7
    • 0002013804 scopus 로고
    • On generalized inverses in C*-algebras
    • R-. Harte and M. Mbekhta. On generalized inverses in C*-algebras. Studia Math., 103:71-77, 1992.
    • (1992) Studia Math , vol.103 , pp. 71-77
    • Harte, R.1    Mbekhta, M.2
  • 8
    • 0002019296 scopus 로고
    • Generalized inverses in C*-algebras II
    • R. Harte and M. Mbekhta. Generalized inverses in C*-algebras II. Studia Math., 106:129-138, 1993.
    • (1993) Studia Math , vol.106 , pp. 129-138
    • Harte, R.1    Mbekhta, M.2
  • 9
    • 0010582779 scopus 로고
    • Algebraic aspects of the generalized inverse of a rectangular matrix
    • M. Z. Nashed, editor, Academic
    • R.E. Kalman. Algebraic aspects of the generalized inverse of a rectangular matrix. In M. Z. Nashed, editor, Proceedings of Advanced Seminar on Genralized Inverse and Applications, pages 111-124. Academic, 1976.
    • (1976) Proceedings of Advanced Seminar on Genralized Inverse and Applications , pp. 111-124
    • Kalman, R.E.1
  • 12
    • 0034355050 scopus 로고    scopus 로고
    • Elements of C*-algebras commuting with their Moore-Penrose inverse
    • J.J. Koliha. Elements of C*-algebras commuting with their Moore-Penrose inverse. Studia Mathematica, 139:81-90, 2000.
    • (2000) Studia Mathematica , vol.139 , pp. 81-90
    • Koliha, J.J.1
  • 13
    • 33750868184 scopus 로고    scopus 로고
    • Range projections and the Moore-Penrose inverse in rings with involution
    • published online DOI: 10.1080/03081080500472954
    • J.J. Koliha and V. Rakocevic. Range projections and the Moore-Penrose inverse in rings with involution. Linear and Multilinear Algebra, 2006. published online DOI: 10.1080/03081080500472954.
    • (2006) Linear and Multilinear Algebra
    • Koliha, J.J.1    Rakocevic, V.2
  • 14
    • 0000437317 scopus 로고
    • Les oprateurs quasi-Fredholm: Une gnralisation des oprateurs semi-Fredholm.
    • J.-Ph. Labrousse. Les oprateurs quasi-Fredholm: une gnralisation des oprateurs semi-Fredholm. Rend. Cire. Mat. Palermo, XXIX(2): 161-258, 1980.
    • (1980) Rend. Cire. Mat. Palermo , vol.29 , Issue.2 , pp. 161-258
    • Labrousse, J.-P.1
  • 15
    • 84966258612 scopus 로고
    • Inverses gnraliss d'oprateurs non boms.
    • J.-Ph. Labrousse. Inverses gnraliss d'oprateurs non boms. Proc. Amer. Math. Soc., 115(1):125-129, 1992.
    • (1992) Proc. Amer. Math. Soc , vol.115 , Issue.1 , pp. 125-129
    • Labrousse, J.-P.1
  • 16
    • 84972538120 scopus 로고
    • Shifts on indefinite inner product spaces
    • B.W. McEnnis. Shifts on indefinite inner product spaces. Pacific J. Math., 81(1):1113-130, 1979.
    • (1979) Pacific J. Math , vol.81 , Issue.1 , pp. 1113-1130
    • McEnnis, B.W.1
  • 17
    • 0035888077 scopus 로고    scopus 로고
    • Classes of normal matrices in indefinite inner products
    • C. Mehl and L. Rodman. Classes of normal matrices in indefinite inner products. Linear Algebra Appl., 336:71-98, 2001.
    • (2001) Linear Algebra Appl , vol.336 , pp. 71-98
    • Mehl, C.1    Rodman, L.2
  • 18
    • 84976011518 scopus 로고
    • On best approximate solutions of linear matrix equations
    • R. Penrose. On best approximate solutions of linear matrix equations. Proc. Cambridge Phil. Soc., 52:17-19, 1956.
    • (1956) Proc. Cambridge Phil. Soc , vol.52 , pp. 17-19
    • Penrose, R.1
  • 19
    • 0002128682 scopus 로고
    • Does the generalized inverse of A commute with A?
    • E.T. Wong. Does the generalized inverse of A commute with A? Math. Mag., 59(4):230-232, 1986.
    • (1986) Math. Mag , vol.59 , Issue.4 , pp. 230-232
    • Wong, E.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.