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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 345 - 353 (9page)
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초록· 키워드
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Subnormality of bounded weighted composition operators on L2(Σ) of the form Wf= uf ◦ T, where T is a nonsingular measurable transformation on the underlying space X of a σ-finite measure space (X,Σ,μ) and u is a weight function on X; is studied. The standard moment sequence characterizations of subnormality of weighted composition operators are given. It is shown that weighted composition operators are subnormal if and only if {Jn(x)}+∞ n=0 is a moment sequence for almost every x ∈ X, where Jn = hnEn(|u|2) ◦ T-n, hn = dμ◦T-n/dμ and En is the conditional expectation operator with respect to T-n Σ.
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참고문헌 (20)
참고문헌 신청
A. Lambert / 1976 / Subnormality and weighted shifts / Bull. Lond. Math. Soc 14 (2) : 476 ~ 480
A. Lambert / 1986 / Hyponormal composition operators / Bull. Lond. Math. Soc 18 : 395 ~ 400
A. Lambert / 1988 / Normal extentions of subnormal compostion operators / Michigan Math. J 35 : 443 ~ 450
A. Lambert / 1988 / Subnormal composition operators / Proc. Amer. Math. Soc 103 : 750 ~ 754
A. Lambert / 2000 / Thomas G. Lucas, Nagata's principle of idealization in relation to module homomorphisms and conditional expectations / Kyungpook Math. J 40 : 327 ~ 337
A. Lambert / 1986 / Hyponormal composition operators / Bull. Lond. Math. Soc 18 : 395 ~ 400
A. Lambert / 1988 / Normal extentions of subnormal compostion operators / Michigan Math. J 35 : 443 ~ 450
A. Lambert / 1988 / Subnormal composition operators / Proc. Amer. Math. Soc 103 : 750 ~ 754
A. Lambert / 2000 / Thomas G. Lucas, Nagata's principle of idealization in relation to module homomorphisms and conditional expectations / Kyungpook Math. J 40 : 327 ~ 337
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