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Hypercyclic operator weighted shifts
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Abstract
We consider bilateral operator weighted shift T onmathbf{L}^2(mathcal{K}) with weight sequence{A_n}_{n=-infty}^infty of positive invertible diagonaloperators on mathcal{K}. We give a characterization for T tobe hypercyclic, and show that the conditions are far simplified incase T is invertible.
참고문헌 (6)
- "emph{Cyclic phenomena forcompositionoperators}" (1997)
- N. S. Feldman, "emph{Hypercyclicity and supercyclicity forinvertible bilateralweighted shifts},", pp.479~485 (2003)
- "Universal vectors foroperators onspaces of holomorphic functions}", pp.281~ (1987)
- "Invariant closed sets for linear operators} University of Toronto" (1982)
- "On orbits of elements}", pp.17~ (1969)
- "emph{Hypercyclic weighted shifts},", pp.993~1004 (1995)
관련 논문AI추천
On the hereditarily hypercyclic operatorsAli Farrokhinia, Bahman Yousefi대한수학회 · 대한수학회지2006 · 제43권 제6호Examples of Quadratically Hyponormal Weighted ShiftsChunji L, Wei He경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제3호k-hyponormality and weighted shifts이전익강원경기수학회 · 한국수학논문집2009 · 제17권 제3호HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTSYu-Xia Liang, Ze-Hua Zhou대한수학회 · 대한수학회지2014 · 제51권 제2호Ces\`{a}ro-hypercyclic and hypercyclic operatorsAbdelaziz Tajmouati, Mohammed El Berrag대한수학회 · 대한수학회논문집2019 · 제34권 제2호Reducing subspaces of weighted shifts with operator weightsCaixing Gu대한수학회 · 대한수학회보2016 · 제53권 제5호
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