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On the Structure of the Square of a C 0(1) Operator

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Modern Operator Theory and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 170))

Abstract

We use the structure theory for C 0 operators to determine when the square of a C 0(1) operator is irreducible and when its lattices of invariant and hyperinvariant subspaces coincide.

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References

  1. Hari Bercovici, Operator Theory and Arithmetic in H , Amer. Math. Soc., Providence, RI., 1988.

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  2. Ken Dykema, Hyperinvariant subspaces for some B-circular operators, Math. Ann. (to appear).

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  3. Bela Sz.-Nagy and Ciprian Foias, Opérateurs sans multiplicité, Acta Sci. Math. (Szeged) 30 (1969), 1–18.

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  4. Bela Sz.-Nagy and Ciprian Foias, Harmonic Analysis of Operators on Hilbert Space, North Holland, 1970.

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Dedicated to I.B. Simonenko on his seventieth birthday

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Douglas, R.G., Foias, C. (2006). On the Structure of the Square of a C 0(1) Operator. In: Erusalimsky, Y.M., Gohberg, I., Grudsky, S.M., Rabinovich, V., Vasilevski, N. (eds) Modern Operator Theory and Applications. Operator Theory: Advances and Applications, vol 170. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7737-3_5

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