Bochner property in Banach spaces
Uttara Naik-Nimbalkar (1981)
Annales de l'I.H.P. Probabilités et statistiques
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Uttara Naik-Nimbalkar (1981)
Annales de l'I.H.P. Probabilités et statistiques
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M. B. Marcus, G. Pisier (1984)
Annales de l'I.H.P. Probabilités et statistiques
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Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
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Janusz Dronka (1993)
Collectanea Mathematica
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In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.
Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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Jesús Bastero, Julio Bernues, Nigel Kalton (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Chen Dongyang (2004)
Collectanea Mathematica
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Let X be a real Banach space that does not contain a copy of l. Then X* contains asymptotically isometric copies of l if and only if X has a quotient which is asymptotically isometric to c.
Wojbor A. Woyczynski (1974)
Annales de l'institut Fourier
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In this paper we are concerned with the norm almost sure convergence of series of random vectors taking values in some linear metric spaces and strong laws of large numbers for sequences of such random vectors. Section 2 treats the Banach space case where the results depend upon the geometry of the unit cell. Section 3 deals with spaces equipped with a non-necessarily homogeneous -norm and in Section 4 we restrict our attention to sequences of identically distributed random vectors. ...