Isometries

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Equivalent conditions for an operator to be an isometry. Description of isometries when the scalar field is the field of complex numbers.
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Hello! Thank you so much for your videos, they’re great.

I had a quick question regarding unitaries. Around 0:48 you mentioned complex isometries are often called unitaries, but I thought unitary operators had to be square matrices, whereas isometries could be rectangular. Is this correct?

Thanks again!

diemilio