Summation properties
Summary families
Article REF: AF72 V1
Summation properties
Summary families

Author : Bernard RANDÉ

Publication date: October 10, 2002 | Lire en français

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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 (ui)i∈I and (vi)i∈I...

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