Existence and comparison results for nonlinear volterra integral equations in a banach space |
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| Authors: | RL Vaughn |
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| Institution: | Department of Mathematics , University of Texas at Arlington , Arlington, Texas |
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| Abstract: | Let L 0(ΩA,P) be the space of equivalent classes of random variables defined on a probability space (Ω,A,P). Let H be the closed subspace of L 0(Ω,A,P) spanned by a sequence of i.i.d. (independent and identically distributed) random variables having the symmetric nondegenerate law F. It is proved that H is linearly homeomorphic to l p for 0<p≤2 if F belongs to the domain of normal attraction of symmetric stable law withexponent p. |
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| Keywords: | Metric linear space linear homeomorphism symmetric stable laws domain of normal attraction Khinchine inequality |
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