Abstract
We study the behavior of the sequence of minimal vectors corresponding to certain classes of operators on L 2 spaces, including weighted composition operators such as those induced by Möbius transformations. In conjunction with criteria for quasinilpotence, the convergence of sequences associated with the minimal vectors leads to the construction of hyperinvariant subspaces.
The authors are grateful to the EPSRC for financial support under grant EP/C004418/1.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Chalendar, I., Flattot, A., Partington, J.R. (2006). The Method of Minimal Vectors Applied to Weighted Composition Operators. In: Dritschel, M.A. (eds) The Extended Field of Operator Theory. Operator Theory: Advances and Applications, vol 171. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7980-3_5
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DOI: https://doi.org/10.1007/978-3-7643-7980-3_5
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