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An extension of a Phillips's theorem to Banach algebras and application to the uniform continuity of strongly continuous semigroups

✍ Scribed by Khalid Latrach; J. Martin Paoli


Book ID
108175557
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
206 KB
Volume
326
Category
Article
ISSN
0022-247X

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For a sequence of Banach space valued random elements {Vn; n¿1} (which are not necessarily independent) with the series ∞ n = 1 Vn converging unconditionally in probability and an inÿnite array a = {ani; i¿n; n¿1} of constants, conditions are given under which (i) for all n¿1, the sequence of weight