Sample paths of random linear operators in Banach spaces
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概要
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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 are 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 $.
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