Let T be a linear operator on a finite dimensional vector space V, over the field F.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose TU = I, where U is another linear operator on V, and I is the Identity operator.

It can ofcourse be shown that T is invertible and the invese of T is nothing but U itself.

What I want to know is an example explicitly to show that the above is false if V is not finite dimensional.

Thank You.

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# Linear operators

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