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References
R. Abraham, J. E. Marsden, and T. Ratiu. Manifolds, Tensor Analysis, and Applications. Springer Verlag, Berlin, Heidelberg, New York, second edition, 1988.
B. Beauzamy. Introduction to Operator Theory and Invariant Subspaces. North-Holland, Amsterdam, New York, Oxford, Tokyo, 1988.
I. P. Cornfeld, S. V. Fomin, and Y. G. Sinai. Ergodic Theory. Springer Verlag, Berlin, Heidelberg, New York, 1982.
J. A. Goldstein. Semigroups of Linear Operators and Applications. Oxford University Press, New York, 1985.
E. Hille and R. S. Phillips. Functional Analysis and Semi-Groups. AMS, Providence, 1957.
I. Lindemann. Private communication.
R. Mañé. Lyapunov exponents and stable manifolds for compact transformations. In J. Palis, editor, Geometric Dynamics, number 1007 in Springer Lecture Notes, pages 522–577, 1983. (Proc. Rio de Janeiro, 1981).
D. Ruelle. Private communication. 1988.
D. Ruelle. Characteristic exponents and invariant manifolds in Hilbert space. Ann. Math., 115:243–290, 1982.
K.-U. Schaumlöffel. Zufällige Evolutionsoperatoren für stochastische partielle Differentialgleichungen. PhD thesis, Universität Bremen, 1990.
K.-U. Schaumlöffel and F. Flandoli. A multiplicative ergodic theorem with application to a first order stochastic hyperbolic equation in a bounded domain. (To appear in Stochastics), 1990.
R. Temam. Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Springer Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo, 1988.
P. Thieullen. Fibres dynamiques asymptotiquement compacts — exposants de Lyapunov. Entropie. Dimension. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 4(1):49–97, 1987.
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Schaumlöffel, KU. (1991). Multiplicative ergodic theorems in infinite dimensions. In: Arnold, L., Crauel, H., Eckmann, JP. (eds) Lyapunov Exponents. Lecture Notes in Mathematics, vol 1486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086668
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DOI: https://doi.org/10.1007/BFb0086668
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