Properties of operator stable distributions in infinite-dimensional Banach spaces
Copyright policy )Properties of operator stable distributions in infinite-dimensional Banach spaces
The results of the paper concern the connections between different characterizations of operator stable measures in infinite-dimensional separable Banach spaces. The author makes use of the important tool for treating limits of operator normed measures: the convergence of operator types, which is closely related with the strong and uniform operator topology. Two new classes of distributions, strongly and uniformly G- stable measures, are introduced in this context.
- University of Technology Russian Federation
Banach spaces, Probability theory on linear topological spaces, Infinitely divisible distributions; stable distributions, operator stable measures, strong and uniform operator topology
Banach spaces, Probability theory on linear topological spaces, Infinitely divisible distributions; stable distributions, operator stable measures, strong and uniform operator topology
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