논문KCI 등재
On the Iterated Duggal Transforms
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For a bounded operator [수식] (polar decomposition), we consider a transform [수식] and discuss the convergence of iterated transform of b T under the strong operator topology. We prove that such iteration of quasiaffine hyponormal operator converges to a normal operator under the strong operator topology.
Abstract
For a bounded operator [수식] (polar decomposition), we consider a transform [수식] and discuss the convergence of iterated transform of b T under the strong operator topology. We prove that such iteration of quasiaffine hyponormal operator converges to a normal operator under the strong operator topology.
참고문헌 (9)
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- J. Antezana, "Convergence of the iterated Aluthge trans- form sequence for diagonalizable matrices", Advances Math, 216, pp.255~278 (2007)
- M. Cho, "On Aluthge transforms of p-hyponormal operators", Integral Equations Operator Theory, 53, pp.321~329 (2005)
- C. Foias, "Complete contractivity of maps associated with the Aluthge and Duggal transforms", Pacific J. Math, 209, pp.249~359 (2003)
- P. R. Halmos, "A Hilbert space problem book" (1982)
- I. S. Hwang, "The spectrum is continuous on the set of p-hyponormal operators", Math. Z, 235, pp.151~157 (2000)
- I. Jung, "Aluthge transforms of operators", Integral Equations Operator Theory, 37, pp.437~448 (2000)
- I. Jung, "The iterated Aluthge transform of an operator", Integral Equations Operator Theory, 45, pp.375~387 (2003)
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