Ergodic power functions for mean bounded, invertible, positive operators
F. Martín-Reyes, P. Ortega Salvador (1988)
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F. Martín-Reyes, P. Ortega Salvador (1988)
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R. Caballero, A. de la Torre (1985)
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Ezio Marchi, Felipe Zo (1981)
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E. Atencia, F. Martin-Reyes (1984)
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Yuan-Chuan Li, Sen-Yen Shaw (1996)
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For a given linear operator L on with ∥L∥ = 1 and L(1) = 1, a notion of limit, called the L-limit, is defined for bounded sequences in a normed linear space X. In the case where L is the left shift operator on and , the definition of L-limit reduces to Lorentz’s definition of σ-limit, which is described by means of Banach limits on . We discuss some properties of L-limits, characterize reflexive spaces in terms of existence of L-limits of bounded sequences, and formulate a version...
E. Atencia, A. de la Torre (1982)
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F. J. Martin-Reyes (1986)
Annales de l'I.H.P. Probabilités et statistiques
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