Category:Almost Convergent Sequences
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This category contains results about Almost Convergent Sequences.
Definitions specific to this category can be found in Definitions/Almost Convergent Sequences.
Let $\map {\ell^\infty} \R$ be the vector space of bounded sequences on $\R$.
Let $\sequence {x_n}_{n \mathop \in \N} \in \map {\ell^\infty} \R$.
We say that $\sequence {x_n}_{n \mathop \in \N}$ is almost convergent to $L$ if and only if:
- $\map \phi {\sequence {x_n}_{n \mathop \in \N} } = L$
for each Banach limit $\phi$.
Pages in category "Almost Convergent Sequences"
This category contains only the following page.