Category:Space of Square Summable Mappings
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This category contains results about Space of Square Summable Mappings.
Let $\GF$ be a subfield of $\C$.
Let $I$ be a set.
The space of square summable mappings over $I$, denoted $\map {\ell^2} I$, is the set:
- $\ds \map {\ell^2} I := \set{ f: I \to \GF: \sum_{i \mathop \in I} \cmod{ \map f i }^2 < \infty }$
of square summable mappings on $I$, considered as a vector subspace of the vector space $\GF^I$ of all mappings $f: I \to \GF$.
Pages in category "Space of Square Summable Mappings"
The following 4 pages are in this category, out of 4 total.