참고문헌
- A. Athavale, On joint hyponormality of operators, Proc. Amer. Math. Soc. 103 (1988), 417-423. https://doi.org/10.1090/S0002-9939-1988-0943059-X
- J. Bram, Subnormal operators, Duke Math. J. 22 (1955), 75-94. https://doi.org/10.1215/S0012-7094-55-02207-9
- J. Conway, The Theory of Subnormal Operators, Mathematical Surveys and Monographs, vol. 36, Amer. Math. Soc., Providence, 1991.
- R. Curto, Joint hyponormality: A bridge between hyponormality and subnormality, Proc. Symposia Pure Math. 51 (1990), 69-91.
- R. Curto, Quadratically hyponormal weighted shifts, Integral Equations Operator Theory 13 (1990), 49-66. https://doi.org/10.1007/BF01195292
- R. Curto, S. H. Lee, and J. Yoon, k-hyponormality of multivariable weighted shifts, J. Funct. Anal. 229 (2005), 462-480. https://doi.org/10.1016/j.jfa.2005.03.022
- R. Curto, S. H. Lee, and J. Yoon, Hyponormality and subnormality for powers of commuting pairs of subnormal operators, J. Funct. Anal. 245 (2007), 390-412. https://doi.org/10.1016/j.jfa.2007.01.002
- R. Curto, S. H. Lee, and J. Yoon, Reconstruction of the Berger measure when the core is of tensor form, Actas del XVI Coloquio Latinoamericano de Algebra, Bibl. Rev. Mat. Iberoamericana (2007), 317-331.
- R. Curto, S. H. Lee, and J. Yoon, One-step extensions of subnormal 2-variable weighted shifts, Integral Equations Operator Theory 78 (2014), 415-426. https://doi.org/10.1007/s00020-013-2121-x
- R. Curto, P. Muhly, and J. Xia, Hyponormal pairs of commuting operators, Operator Theory: Adv. Appl. 35 (1988), 1-22.
- R. Curto and J. Yoon, Jointly hyponormal pairs of subnormal operators need not be jointly subnormal, Trans. Amer. Math. Soc. 358 (2006), 5139-5159. https://doi.org/10.1090/S0002-9947-06-03911-0
- R. Curto and J. Yoon, Disintegration-of-measure techniques for commuting multivariable weighted shifts, Proc. London Math. Soc. 92 (2006), 321-402.
- Gellar and Wallen, Subnormal weighted shifts and the Halmos-Bram criterion, Proc. Japan Acad. 46 (1970), 375-378. https://doi.org/10.3792/pja/1195520357
- P. R. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887-933. https://doi.org/10.1090/S0002-9904-1970-12502-2
- N. P. Jewell and A. R. Lubin, Commuting weighted shifts and analytic function theory in several variables, J. Operator Theory 1 (1979), 207-223.
- A. Lambert, Subnormality of weighted shifts, J. Lond. Math. Soc. 14 (1976), 476-480
- A. R. Lubin, Weighted shifts and commuting normal extension, J. Aust. Math. Soc Ser. A 27 (1979), 17-26 https://doi.org/10.1017/S1446788700016608
- J. Yoon, Disintegration of measures and contractive 2-variable weighted shifts, Integral Equations Operator Theory 59 (2007), 281-298. https://doi.org/10.1007/s00020-007-1509-x