I am looking for a basic reference for the definition of a direct integral and a basic discussion. I know that there is a discussion on this in "Methods of modern mathematical physics, volume 4", but it does not feel very 'self-contained' or simple. Is anyone aware on possibly better references?
2026-03-31 16:01:12.1774972872
Direct integral, reference
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This is in page 999 of Kadison, Richard V.; Ringrose, John R., Fundamentals of the theory of operator algebras. Volume II: Advanced theory, Pure and Applied Mathematics, 100-2. Orlando etc.: Academic Press (Harcourt Brace Jovanovich, Publishers). XIV, pp. 399-1074. (1986). ZBL0601.46054.