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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.
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참고문헌 (12)
참고문헌 신청
M. B. Abrahamse / 1976 / Analytic Toeplitz operators with automorphic symbol II / Proc. Amer. Math. Soc 59(2):323~328
K. Guo / 2015 / Multiplication operators on the Bergman space / Springer
P. Halmos / 1961 / Shifts on Hilbert spaces / J. Reine Angew. Math 208:102~112
Z. J. Jab lonski / 2012 / Weighted shifts on directed trees / Mem. Amer. Math. Soc 216(1017):8
N. P. Jewell / 1979 / Commuting weighted shifts and analytic function theory in several variables / J. Operator Theory 1(2):207~223
K. Guo / 2015 / Multiplication operators on the Bergman space / Springer
P. Halmos / 1961 / Shifts on Hilbert spaces / J. Reine Angew. Math 208:102~112
Z. J. Jab lonski / 2012 / Weighted shifts on directed trees / Mem. Amer. Math. Soc 216(1017):8
N. P. Jewell / 1979 / Commuting weighted shifts and analytic function theory in several variables / J. Operator Theory 1(2):207~223
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