참고문헌
- J. Agler, A disconjugacy theorem for Toeplitz operators, Amer. J. Math. 112 (1990), no. 1, 1-14. https://doi.org/10.2307/2374849
- J. Agler and M. Stankus, m-isometric transformations of Hilbert space. I, Integral Equations Operator Theory 21 (1995), no. 4, 383-429. https://doi.org/10.1007/BF01222016
- J. Agler and M. Stankus, m-isometric transformations of Hilbert space. II, Integral Equations Operator Theory 23 (1995), no. 1, 1-48. https://doi.org/10.1007/BF01261201
- J. Agler and M. Stankus, m-isometric transformations of Hilbert space. III, Integral Equations Operator Theory 24 (1996), no. 4, 379-421. https://doi.org/10.1007/BF01191619
- O. A. M. Sid Ahmed, m-isometric operators on Banach spaces, Asian-Eur. J. Math. 3 (2010), no. 1, 1-19. https://doi.org/10.1142/S1793557110000027
- T. Bermudez, A. Martinon, and J. A. Noda, Products of m-isometries, Linear Algebra Appl. 438 (2013), no. 1, 80-86. https://doi.org/10.1016/j.laa.2012.07.011
-
F. Botelho, On the existence of n-isometries on
${\ell}_{p}$ spaces, Acta Sci. Math. (Szeged) 76 (2010), no. 1-2, 183-192. - A. Brown and P. R. Halmos, Algebraic properties of Toeplitz operators, J. Reine Angew. Math. 213 (1963/1964), 89-102.
- M. Cho, T. Nakazi, and T. Yamazaki, Hyponormal operators and two-isometry, Far East J. Math. Sci. (FJMS) 49 (2011), no. 1, 111-119.
- C. C. Cowen, Hyponormality of Toeplitz operators, Proc. Amer. Math. Soc. 103 (1988), no. 3, 809-812. https://doi.org/10.1090/S0002-9939-1988-0947663-4
- D. Farenick, M. Mastnak, and A. I. Popov, Isometries of the Toeplitz matrix algebra, J. Math. Anal. Appl. 434 (2016), no. 2, 1612-1632. https://doi.org/10.1016/j.jmaa.2015.09.057
- M. F. Gamal, On Toeplitz operators similar to isometries, J. Operator Theory 59 (2008), no. 1, 3-28.
- T. A. Grigoryan, E. V. Lipacheva, and V. H. Tepoyan, On the extension of the Toeplitz algebra by isometries, in The varied landscape of operator theory, 137-146, Theta Ser. Adv. Math., 17, Theta, Bucharest.
- I. S. Hwang and W. Y. Lee, Hyponormal Toeplitz operators with rational symbols, J. Operator Theory 56 (2006), no. 1, 47-58.
-
C. A. McCarthy,
$c_{p}$ , Israel J. Math. 5 (1967), 249-271. https://doi.org/10.1007/BF02771613 - T. Nakazi and K. Takahashi, Hyponormal Toeplitz operators and extremal problems of Hardy spaces, Trans. Amer. Math. Soc. 338 (1993), no. 2, 753-767. https://doi.org/10.1090/S0002-9947-1993-1162103-7
- L. J. Patton and M. E. Robbins, Composition operators that are m-isometries, Houston J. Math. 31 (2005), no. 1, 255-266.
- P. Y. Wu, Hyponormal operators quasisimilar to an isometry, Trans. Amer. Math. Soc. 291 (1985), no. 1, 229-239. https://doi.org/10.1090/S0002-9947-1985-0797056-X