Geodesic
Abel means of operator-valued processes
Studia Mathematica, Tome 115 (1995) no. 3, pp. 261-276 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $(X_j)$ be a sequence of independent identically distributed random operators on a Banach space. We obtain necessary and sufficient conditions for the Abel means of $X_n...X_2 X_1$ to belong to Hardy and Lipschitz spaces a.s. We also obtain necessary and sufficient conditions on the Fourier coefficients of random Taylor series with bounded martingale coefficients to belong to Lipschitz and Bergman spaces.
DOI : 10.4064/sm-115-3-261-276
Keywords: Abel means, martingale transforms, subadditive ergodic theory 
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G. Blower. Abel means of operator-valued processes. Studia Mathematica, Tome 115 (1995) no. 3, pp. 261-276. doi: 10.4064/sm-115-3-261-276

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