A Characterization of 1-greedy Bases
نویسنده
چکیده
We construct random iterative processes for weakly contractive and asymptotically nonexpansive random operators and study necessary conditions for the convergence of these processes. It is shown that they converge to the random fixed points of these operators in the setting of Banach spaces. We also proved that an implicit random iterative process converges to the common random fixed point of a finite family of asymptotically quasi nonexpansive random operators in uniformly convex Banach spaces.
منابع مشابه
Renormings and symmetry properties of one-greedy bases
We continue the study of 1-greedy bases initiated by F. Albiac and P. Wojtaszczyk [1]. We answer several open problems they raised concerning symmetry properties of 1-greedy bases and the improving of the greedy constant by renorming. We show that 1-greedy bases need not be symmetric nor subsymmetric. We also prove that one cannot in general make a greedy basis 1-greedy as demonstrated for the ...
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We continue the study of 1-greedy bases initiated by F. Albiac and P. Wojtaszczyk [1]. We answer several open problems they raised concerning symmetry properties of 1-greedy bases and the improving of the greedy constant by renorming. We show that 1-greedy bases need not be symmetric nor subsymmetric. We also prove that one cannot in general make a greedy basis 1-greedy as demonstrated for the ...
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