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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 81 - 90 (10page)
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A bounded linear operator T on a Hilbert space H is convex, if for each $x \in \mathcal{H},$$\|T^{2}x\|^2-2\|Tx\|^2+\|x\|^2 \geq 0$. In this paper, it is shown that if T is convexand supercyclic then it is a contraction or an expansion. We then present some examplesof convex supercyclic operators. Also, it is proved that no convex composition operatorinduced by an automorphism of the disc on a weighted Hardy space is supercyclic.
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참고문헌 (24)
참고문헌 신청
J. Agler / 1985 / Hypercontractions and subnormality / J. Operator Theory 13:203~217
S. I. Ansari / 1997 / Some properties of cyclic operators / Acta Sci. Math 63:195~207
F. Bayart / 2011 / m-isometries on Banach spaces / Math. Nachr 284:2141~2147
F. Bayart / 2009 / Dynamics of linear operators / Cambridge University Press
F. Bayart / 2006 / Hyponormal operators, weighted shifts and weak forms of supercyclicity / Proc. Edinb. Math. Soc 49(2):1~15
S. I. Ansari / 1997 / Some properties of cyclic operators / Acta Sci. Math 63:195~207
F. Bayart / 2011 / m-isometries on Banach spaces / Math. Nachr 284:2141~2147
F. Bayart / 2009 / Dynamics of linear operators / Cambridge University Press
F. Bayart / 2006 / Hyponormal operators, weighted shifts and weak forms of supercyclicity / Proc. Edinb. Math. Soc 49(2):1~15
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