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In this paper we prove a general version of the extrapolation theorem for absolutely summing nonlinear operators. It is explicitly shown that this result encompasses the previous old and recent, linear and nonlinear extrapolation theorems as par[...]texto impreso
Botelho, G. ; Cariello, Daniel ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. | Oxford University Press | 2014In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the maximum only at one point. Inserting a topological flavor to the[...]texto impreso
Botelho, G. ; Cariello, D. ; Favaro, V.V. ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. | Oxford University Press | 2014-09In this paper, we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the maximum only at one point. Inserting a topological flavor to th[...]texto impreso
Botelho, G. ; Favaro, V.V. ; Pellegrino, Daniel ; Seoane-Sepúlveda, Juan B. | Elsevier Science | 2012In this short note we prove the result stated in the title: that is, for every p > 0 there exists an infinite dimensional closed linear sub-space of L-p[0, 1] every nonzero element of which does not belong to boolean OR(q> p) L-q[0, 1]. This an[...]
