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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Alternating sequences and induced operators


Authors: M. A. Akcoglu and R. E. Bradley
Journal: Trans. Amer. Math. Soc. 325 (1991), 765-791
MSC: Primary 47A35; Secondary 47B38, 47B60, 47B65
DOI: https://doi.org/10.1090/S0002-9947-1991-1022865-4
MathSciNet review: 1022865
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Abstract: We show that when a positive $ {L_p}$ contraction is equipped with a norming function having full support, then it is related in a natural way to an operator on any other $ {L_p}$ space, $ 1 < p < \infty $. This construction is used to generalize a theorem of Rota concerning the convergence of alternating sequences.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1991-1022865-4
Keywords: Positive contractions of $ {L_p}$, alternating sequences, maximal inequalities
Article copyright: © Copyright 1991 American Mathematical Society