Based on Hilbert spaces and linear operations by Verner Vlačić, which includes prerequisites for the Mathematics of Information course taught by Prof. Helmut Bölcskei at ETH in Spring 2022.
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These cards are mostly just definitions or basic properties of objects, with only some simple proofs.
I cannot guarantee that these flashcards are correct. Any errors are most likely mine. If you find a mistake or have other comments, feel free to reach out to me at krzysztof at kszk dot eu.