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Recently while reading an article I came across the usage of infinite tensor product of Hilbert spaces. I have got a basic understanding of doing computations in infinite tensor product while reading the article as it mostly involved elementary tensors, but I am curious to know the exact construction of such a tensor product and the inner product that is given on the infinite tensor product. It would be of great help to me if anyone gives a reference or an explanation of such a construction. Thanks in advance!

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    $\begingroup$ Without making the question more specific, it looks like a duplicate. In addition to the question linked above, the topic also came up here. $\endgroup$
    – Igor Khavkine
    Commented Feb 7 at 11:24

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