The norm of an averaging operator

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Martini, R. and Post, G.F. (2001) The norm of an averaging operator. [Report]

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Abstract:We consider the operator $A: \ell^2 \to \ell^2$ defined by $A(a) = b$ for $a=(a_n)$ and $b=(b_n)$ with $b_n=\dfrac1n (a_1+a_2+\dots + a_n)$. We prove that $A$ has norm 2.
Item Type:Report
Additional information:Imported from MEMORANDA
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/65765
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