Article | REF: AF72 V1

Summary families

Author: Bernard RANDÉ

Publication date: October 10, 2002

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3. Summation properties

In this section, we set out a number of properties of summable families of vectors. The proofs of these properties are based both on the previous study of positive families and on the definition of the sum of any family as the limit of finite sums.

3.1 Elementary properties

Proposition 8.

Let and

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Summation properties