In the mathematical notation for image and kernel one usually writes $\ker$ for kernel and $\DeclareMathOperator{\img}{Im}\img$ for image. Why is the "k" small but the "I" big?
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3I do not capitalize $\text{im}$. – Git Gud Mar 12 '15 at 22:13
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7I don't capitalize $\text{im}$ either. Some people capitalize $\text{Ker}$, even. It's a wild world out there. – Qiaochu Yuan Mar 12 '15 at 22:15
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2There is no uniform notation: both are capitalised in French. – Bernard Mar 12 '15 at 22:24
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3I don't capitalize either , since $Im$ can refer to an imaginary part – krirkrirk Mar 12 '15 at 22:26
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ok great thanks for the comments. I will write both small then :) – Loreno Heer Mar 12 '15 at 22:49
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CW answer summing up comments, to push it from unanswered queue:
There is no uniform notation. It may or may not be capitalised.
Jesse P Francis
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