Existence of non-subnormal polynomially hyponormal operators
Authors:
Raúl E. Curto and Mihai Putinar
Journal:
Bull. Amer. Math. Soc. 25 (1991), 373-378
MSC (1985):
Primary 47B20, 47A65, 44A60; Secondary 46A22, 52A07
DOI:
https://doi.org/10.1090/S0273-0979-1991-16079-9
MathSciNet review:
1091568
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Jim Agler, The Arveson extension theorem and coanalytic models, Integral Equations Operator Theory 5 (1982), no. 5, 608–631. MR 697007, DOI https://doi.org/10.1007/BF01694057
- Jim Agler, Hypercontractions and subnormality, J. Operator Theory 13 (1985), no. 2, 203–217. MR 775993
- Gilles Cassier, Problème des moments sur un compact de ${\bf R}^{n}$ et décomposition de polynômes à plusieurs variables, J. Funct. Anal. 58 (1984), no. 3, 254–266 (French). MR 759099, DOI https://doi.org/10.1016/0022-1236%2884%2990042-9
- Kevin Clancey, Seminormal operators, Lecture Notes in Mathematics, vol. 742, Springer, Berlin, 1979. MR 548170
- John B. Conway, Subnormal operators, Research Notes in Mathematics, vol. 51, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1981. MR 634507
- Raúl E. Curto, Quadratically hyponormal weighted shifts, Integral Equations Operator Theory 13 (1990), no. 1, 49–66. MR 1025673, DOI https://doi.org/10.1007/BF01195292
- Raúl E. Curto, Joint hyponormality: a bridge between hyponormality and subnormality, Operator theory: operator algebras and applications, Part 2 (Durham, NH, 1988) Proc. Sympos. Pure Math., vol. 51, Amer. Math. Soc., Providence, RI, 1990, pp. 69–91. MR 1077422, DOI https://doi.org/10.1016/j.jpaa.2018.12.012
- Raúl E. Curto and Lawrence A. Fialkow, Recursively generated weighted shifts and the subnormal completion problem. II, Integral Equations Operator Theory 18 (1994), no. 4, 369–426. MR 1265443, DOI https://doi.org/10.1007/BF01200183
- Raúl E. Curto, Paul S. Muhly, and Jingbo Xia, Hyponormal pairs of commuting operators, Contributions to operator theory and its applications (Mesa, AZ, 1987) Oper. Theory Adv. Appl., vol. 35, Birkhäuser, Basel, 1988, pp. 1–22. MR 1017663
- Paul Richard Halmos, A Hilbert space problem book, 2nd ed., Graduate Texts in Mathematics, vol. 19, Springer-Verlag, New York-Berlin, 1982. Encyclopedia of Mathematics and its Applications, 17. MR 675952
- H. J. Landau, Classical background of the moment problem, Moments in mathematics (San Antonio, Tex., 1987) Proc. Sympos. Appl. Math., vol. 37, Amer. Math. Soc., Providence, RI, 1987, pp. 1–15. MR 921082, DOI https://doi.org/10.1090/psapm/037/921082
- Mircea Martin and Mihai Putinar, Lectures on hyponormal operators, Operator Theory: Advances and Applications, vol. 39, Birkhäuser Verlag, Basel, 1989. MR 1028066
- Scott McCullough and Vern Paulsen, A note on joint hyponormality, Proc. Amer. Math. Soc. 107 (1989), no. 1, 187–195. MR 972236, DOI https://doi.org/10.1090/S0002-9939-1989-0972236-8
- Mihai Putinar, Hyponormal operators are subscalar, J. Operator Theory 12 (1984), no. 2, 385–395. MR 757441
- Allen L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, Amer. Math. Soc., Providence, R.I., 1974, pp. 49–128. Math. Surveys, No. 13. MR 0361899
- J. G. Stampfli, Which weighted shifts are subnormal?, Pacific J. Math. 17 (1966), 367–379. MR 193520
- James E. Thomson, Approximation in the mean by polynomials, Ann. of Math. (2) 133 (1991), no. 3, 477–507. MR 1109351, DOI https://doi.org/10.2307/2944317
- Daoxing Xia, Spectral theory of hyponormal operators, Operator Theory: Advances and Applications, vol. 10, Birkhäuser Verlag, Basel, 1983. MR 806959
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