References
- M. B. Abrahamse and J. A. Ball, Analytic Toeplitz operators with automorphic symbol II, Proc. Amer. Math. Soc. 59 (1976), no. 2, 323-328. https://doi.org/10.1090/S0002-9939-1976-0454714-4
- K. Guo and H. Huang, Multiplication operators on the Bergman space, Lecture Notes in Mathematics 2145, Springer, 2015.
- P. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 208 (1961), 102-112.
- Z. J. Jab lonski, I. B. Jung, and J. Stochel, Weighted shifts on directed trees, Mem. Amer. Math. Soc. 216 (2012), no. 1017, viii+106 pp.
- N. P. Jewell and A. R. Lubin, Commuting weighted shifts and analytic function theory in several variables, J. Operator Theory 1 (1979), no. 2, 207-223.
- Y. Lu and X. Zhou, Invariant subspaces and reducing subspaces of weighted Bergman space over bidisk, J. Math. Soc. Japan 62 (2010), no. 3, 745-765. https://doi.org/10.2969/jmsj/06230745
- E. Nordgren, Reducing subspaces of analytic Toeplitz operators, Duke Math. J. 34 (1967), 175-181. https://doi.org/10.1215/S0012-7094-67-03419-9
- H. Radjavi and P. Rosenthal, Simultaneous Triangularization, Universitext, Springer-Verlag, 2000.
- Y. Shi and Y. Lu, Reducing subspaces for Toeplitz operators on the polydisk, Bull. Korean Math. Soc. 50 (2013), no. 2, 687-696. https://doi.org/10.4134/BKMS.2013.50.2.687
- A. L. Shields, Weighted shift operators and analytic function theory, pp. 49-128 in Math. Surv. 13, Amer. Math. Soc., Providence, 1974.
- M. Stessin and K. Zhu, Reducing subspaces of weighted shift operators, Proc. Amer. Math. Soc. 130 (2002), no. 9, 2631-2639. https://doi.org/10.1090/S0002-9939-02-06382-7
- K. Zhu, Reducing subspaces for a class of multiplication operators, J. London Math. Soc. 62 (2000), no. 2, 553-568. https://doi.org/10.1112/S0024610700001198