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Activity for KamilPrzespolewski‭

Type On... Excerpt Status Date
Comment Post #291528 Hi, thanks for pointing this out. I have clarified the reference.
(more)
6 months ago
Edit Post #291528 Post edited:
Clarified reference
6 months ago
Edit Post #291528 Initial revision 6 months ago
Question Does "shift of terms" in a Faber–Schauder series expansion of f ∈ C[0,1] produce an element of C[0,1]?
Question Let $\{en : n=0, 1, \dots \}$ be a Faber–Schauder basis (See Megginson Theory of linear operations, 4.1.11 Example). Is the following function from $C[0,1] \times \mathbb{R}$ to $C[0,1]$ well-defined: $$ (f, \beta) = (\sum \alphan en, \beta) \mapsto \beta e0 + \sum \alphan e{n+1}   ...
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6 months ago