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Spectral theory of operator measures in Hilbert space

Spectral theory of operator measures in Hilbert space

In Ā§2 the spaces L 2 (Ī£, H) are described; this is a solution of a problem posed by M. G. Kreȋn.In Ā§3 unitary dilations are used to illustrate the techniques of operator measures.In particular, a simple proof of the Naȋmark dilation theorem is presented, together with an explicit construction ā€¦