Displaying similar documents to “Geometrical properties of Banach spaces and the distribution of the norm for a stable measure”

Remarks on the Istratescu measure of noncompactness.

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.

Strong laws of large numbers in certain linear spaces

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 F -norm and in Section 4 we restrict our attention to sequences of identically distributed random vectors. ...