On the Cauchy dual of closed range operators

H. Ezzahraoui, Mostafa Мbekhta, E. H. Zerouali

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Tài liệu tham khảo

A. Ben-Israel and T. N. E. Greville, Generalized Inverses Theory and applications, Second edition, Canadian Mathematic Society, Springer-Verlag, New York, Inc, 2003.

A. Aleman, The multiplication operators on Hilbert spaces of analytic functions, Habilitationsschrift, Fernuversität Hagen, 1993.

A. Athavale, On completely hyperexpansive operators, Proc. Amer. Math. Soc., 124 (1996), 3745–3752.

A. Brown, On a class of operators, Proc. Amer. Math. Soc., 4 (1953), 723–728.

G. Corach, A. Maestripieri and M. Mbekhta, Metric and homogeneous structure of closed range operators, J. Operator Theory, (2009), 171–190.

S. Chavan, On operators Cauchy dual to 2-hyperexpansive operators, Proc. Edinburgh Math. Soc., 50 (2007), 637–552.

M. R. Embry and A. Lambert, Weighted translation semigroups, Rocky Mountain J. Math, 7 (1977), 333–344.

C. W. Groetsch, Generalized inverses of linear operators: representation and approximation, M. Dekker, New York, 1977.

C. W. Groetsch, Inclusions and identities for the Moore–Penrose inverse of a closed linear operator, Math. Nachr., 171 (1995), 157–164.

H. Ezzahraoui, M. Mbekhta and E. H. Zerouali, Operator inequalities related to Beurling type theorem, Int. J. Funct. Anal. Oper. Theory and Appl., 7 (2015), 107–119.

R. Harte and M. Mbekhta, On generalized inverses in C*-algebras, Studia Math., 103 (1992), 71–77.

J. J. Koliha, The Drazin and Moore–Penrose inverse in C*-algebras, Math. Proc. R. Ir. Acad., 99A (1999), 17–27.

J. Ph. Labrousse and M. Mbekhta, Point continuity operators for the conorm and the Moore Penrose inverse, Huston J. Math., 18 (1992), 7–23.

M. Mbekhta, Partial isometries and generalized inverses, Acta Sci. Math (Szeged), 70 (2004), 767–781.

M. Mbekhta, On the generalized resolvent in Banach spaces, J. Math. Anal. Appl., 189 (1995), 362–377.

M. Mbekhta, Résolvant généralisé et théorie spectrale, J. Oper. Theory, (1989), 69–105.

A. Olofsson, Wandering subspace theorems, Integral Equ. Oper. Theory, 51 (2005), 395–409.

S. Richter, Invariant subspaces of the Dirichlet shift, J. Reine Angew. Math., 386 (1988), 205–220.

S. Roch, Steffen and B. Silbermann, Asymptotic Moore–Penrose invertibility of singular integral operators, Integral Equ. Oper. Theory, 26 (1996), 81–101.

A. L. Shields, Weighted shift operators and analytic function theory, Amer. Math. Soc., 71 (1974), 49–128.

S. Shimorin, Wold-type decompositions and wandering subspaces for operators close to isometries, J. Reine Angew. Math., 531 (2001), 147–189.

S. Shimorin, Complete Nevanlinna–Pick property of Dirichlet-type spaces, J. Funct. Anal., 191 (2002), 276–296.

G. W. Stewart, On the perturbation of pseudo-inverses, projections, and linear least squares problems, SIA. Rev., 19 (1977), 634–662.