Apparently - that is, if I'm to believe Kolmogorov - we have the following for a bounded linear operator A between two normed spaces:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\sup_{\| x \| \leq 1} \|Ax\| = \sup_{\|x\| = 1} \|Ax\|

[/tex]

But why?

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# Question about linear operators

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