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The paper the title refers to is that in {\em Proceedings of the Edinburgh Mathematical Society}, {\bf 40} (1997), 367-374. Taking it as an excuse we intend to realize a twofold purpose: to atomize that important result showing by the way connections which are out of favour and to rectify a tiny piece of history.

Murphy's ``Positive definite kernels and Hilbert C*-modules'' reorganized

Murphy's ``Positive definite kernels and Hilbert C^*-modules'' reorganized