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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 711 - 732 (22page)
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In this paper, we give a new approach to solving the 2-variable subnormal completion problem (SCP for short). To this aim, we extend the notion of recursively generated weighted shifts, introduced by R. Curto and L. Fialkow, to 2-variable case. We next provide ”concrete” necessary and sufficient conditions for the existence of solutions to the 2-variable SCP with minimal Berger measure. Furthermore, a short alternative proof to the propagation phenomena, for the subnormal weighted shifts in 2-variable, is given.
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참고문헌 (13)
참고문헌 신청
C. Bayer / 2006 / The proof of Tchakaloff’s theorem / Proc. Amer. Math. Soc. 134:3035~3040
R. Ben Taher / 2001 / Recursive subnormal completion and the truncated moment problem / Bull. London Math. Soc. 33:425~432
R. Curto / 1993 / Recursively generated weighted shifts and the subnormal completion problem / Integral Equations Operator Theory 17(2):202~246
R. Curto / 1994 / Recursively generated weighted shifts and the subnormal completion problem II / Integral Equations and Operator Theory 18(4):369~426
R. E. Curto / 1996 / Solution of the truncated complex moment problem for flat data / Mem. Amer. Math. Soc 119(568):52
R. Ben Taher / 2001 / Recursive subnormal completion and the truncated moment problem / Bull. London Math. Soc. 33:425~432
R. Curto / 1993 / Recursively generated weighted shifts and the subnormal completion problem / Integral Equations Operator Theory 17(2):202~246
R. Curto / 1994 / Recursively generated weighted shifts and the subnormal completion problem II / Integral Equations and Operator Theory 18(4):369~426
R. E. Curto / 1996 / Solution of the truncated complex moment problem for flat data / Mem. Amer. Math. Soc 119(568):52
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