논문KCI 등재
Reducing subspaces of weighted shifts with operator weights
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초록
We characterize reducing subspaces of weighted shifts with operator weights as wandering invariant subspaces of the shifts with additional structures. We show how some earlier results on reducing subspaces of powers of weighted shifts with scalar weights on the unit disk and the polydisk can be fitted into our general framework.
Abstract
We characterize reducing subspaces of weighted shifts with operator weights as wandering invariant subspaces of the shifts with additional structures. We show how some earlier results on reducing subspaces of powers of weighted shifts with scalar weights on the unit disk and the polydisk can be fitted into our general framework.
참고문헌 (12)
- M. B. Abrahamse, "Analytic Toeplitz operators with automorphic symbol II", Proc. Amer. Math. Soc, 59(2), pp.323~328 (1976)
- K. Guo, "Multiplication operators on the Bergman space" (2015), Springer
- P. Halmos, "Shifts on Hilbert spaces", J. Reine Angew. Math, 208, pp.102~112 (1961)
- Z. J. Jab lonski, "Weighted shifts on directed trees", Mem. Amer. Math. Soc, 216(1017), pp.8~ (2012)
- N. P. Jewell, "Commuting weighted shifts and analytic function theory in several variables", J. Operator Theory, 1(2), pp.207~223 (1979)
- Y. Lu, "Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk", J. Math. Soc. Japan, 62(3), pp.745~765 (2010)
- E. Nordgren, "Reducing subspaces of analytic Toeplitz operators", Duke Math. J, 34, pp.175~181 (1967)
- H. Radjavi, "Simultaneous Triangularization" (2000), Universitext
- Yanyue Shi, "Reducing subspaces for Toeplitz operators on the polydisk", 대한수학회보, 50(2), pp.687~696 (2013), 대한수학회
- A. L. Shields, "Weighted shift operators and analytic function theory", pp.49~128 (1974), Amer. Math. Soc.
- M. Stessin, "Reducing subspaces of weighted shift operators", Proc. Amer. Math. Soc, 130(9), pp.2631~2639 (2002)
- K. Zhu, "Reducing subspaces for a class of multiplication operators", J. London Math. Soc, 62(2), pp.553~568 (2000)
관련 논문AI추천
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