Naslov
Cylindrical measures on tensor products of Banach spaces and random linear operators

Autori
Elezović, Neven

Izvornik
Manuscripta Mathematica (0025-2611) 60 (1988), 1; 1-20

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
cylindrical measures; tensor product; random linear operators

Sažetak
A. V. Skorokhod defined various classes of random linear operators between Hilbert spaces. The aim of this paper is to extend two of these notions to random operators acting between Banach spaces E and F. This is done via cylindrical measures and the corresponding linear stochastic processes. Then Skorokhod’ s random operators correspond to cylindrical measures on this tensor product possessing some additional continuity properties. The advantage of this point of view is that results about operator ideals (Radonifying, p-summing operators) can be applied. This leads to composition properties of random operators with usual operators.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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