JournalsprimsVol. 22, No. 2pp. 329–344

Radonification Problem for Cylindrical Measures on Tensor Products of Banach Spaces

  • Neven Elezovic

    University of Zagreb, Croatia
Radonification Problem for Cylindrical Measures on Tensor Products of Banach Spaces cover
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Abstract

An operator _w_1⊗_w_2 is said to be p-Radonifying if it maps every cylindrical measure of type p, defined on the tensor product E_⊗_F of two Banach spaces, into a Radon probability cf order p on the completion of some normed product G_⊗_αH. In this paper we prove that α is p-Radonifying, 1<p<∞ if and only if it is _p_∼-summing.

Cite this article

Neven Elezovic, Radonification Problem for Cylindrical Measures on Tensor Products of Banach Spaces. Publ. Res. Inst. Math. Sci. 22 (1986), no. 2, pp. 329–344

DOI 10.2977/PRIMS/1195178070