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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 89 - 100 (12page)
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Let G = (V, E, μ) be a weighted directed tree, where V is a vertex set, E is an edge set, and mu is a sigma-finite measure on V. The tree G induces a composition operator C on the Hilbert space l²(V). Hand-type directed trees are defined and characterized the weak hyponormalities of such C in this note. Also some additional related properties are discussed. In addition, some examples related to directed hand-type trees are provided to separate classes of weak-hyponormal operators.
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참고문헌 (11)
참고문헌 신청
C. Burnap / 2005 / Separating partial normality classes with com- position operators / J. Operator Theory 53 : 381 ~ 397
C. Burnap / 2008 / Composition operators with weak hyponormality / J. Math. Anal. Appl. 337 : 686 ~ 694
D. Xia / 1983 / Spectral theory of hyponormal operators / Birkhauser Verlag
G. Exner / 2009 / Block matrix operators and weak hyponormalities / Integr. equ. theory 65 : 345 ~ 362
I. B. Jung / 2005 / Gaps of operators, II / Glasgow Math. J. 47 : 461 ~ 469
C. Burnap / 2008 / Composition operators with weak hyponormality / J. Math. Anal. Appl. 337 : 686 ~ 694
D. Xia / 1983 / Spectral theory of hyponormal operators / Birkhauser Verlag
G. Exner / 2009 / Block matrix operators and weak hyponormalities / Integr. equ. theory 65 : 345 ~ 362
I. B. Jung / 2005 / Gaps of operators, II / Glasgow Math. J. 47 : 461 ~ 469
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