<departmental bulletin paper>
Sample paths of random linear operators in Banach spaces

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Abstract In this paper, a random operator $ A $ from a Banach space $ X $ into a Banach space $ Y $ is viewed as a $ Y $-valued random field indexed by the parameter set $ X $. The main results of the paper a...re various conditions for the existence of a modification of $ A $ whose sample paths belong to some subset of the space of linear continuous operators from $ X $ into $ Y $.show more

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Created Date 2009.09.24
Modified Date 2024.01.10

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