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Research Article

On joint posinormality of operators

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Pages 4819-4834 | Received 31 May 2020, Accepted 02 Feb 2021, Published online: 18 Mar 2021

References

  • Radjavi H, Rosenthal P. On invariant subspaces and reflexive algebras. Am J Math. 1969;91(3):683–692.
  • Conway JB, Szymanski W. Linear combination of hyponormal operators. Rocky Mt J Math. 1988 Summer;18(3):695–706.
  • Curto RE. Joint hyponormalty: a bridge between hyponormality and sunormalty. Proc Sym Pure Math. 1990;51(Part 2):69–91.
  • Athavale A. On joint hyponormality of operators. Proc Am Math Soc. 1988 Jun;103(2):417–423.
  • Rhaly HC Jr. Posinormal operators. J Math Soc Jpn. 1994;46(4):587–605.
  • Curto RE. Quadratically hyponormal weighted shifts. Integr Equat Oper Th. 1990;13:49–66.
  • Curto RE, Putinar M. Nearly subnormal operators and moment problems. J Funct Anal. 1993;115(2):480–497.
  • Curto RE, Putinar M. Existence of non-subnormal polynomially hyponormal operators. Bull New Ser Am Math Soc. 1991 Oct;25(2):373–378.
  • Guesba M, Beiba EMO, Mahmoud SAOA. Joint a-hyponormality of operators in semi-Hilbert spaces. Linear Multilinear Alg. doi:10.1080/03081087.2019.1698509.
  • Douglas RG. On majorization, factorization, and range inclusion of operators on Hilbert space. Proc Amer Math Soc. 1966;17:413–415.
  • Embry MR. Factorization of hyponormal operators. J Austral Mat Soc. 1972;13(3):323–326.
  • Rhaly HC Jr. A superclass of the posinormal operators. New York J Math. 2014;20:497–506.
  • Kubrusly CS, Duggal BP. On posinormal operators. Adv Math Sci Appl. 2007;17:131–148.
  • Brooke JA, Busch P, Pearson DB. Commutativity up to a factor of bounded operators in complex Hilbert space. Proc R Soc Lond A. 2002;458:109–118.
  • Kubrusly CS, Vieira PCM, Zanni J. Powers of posinormal operators. Oper Matrices. 2016;10(1):15–27.

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