Murphy's “Positive definite kernels and Hilbert $C^*$-modules” reorganized
Volume 89 / 2010
Banach Center Publications 89 (2010), 275-295
MSC: Primary 46L08; Secondary 46E22.
DOI: 10.4064/bc89-0-19
Abstract
The paper the title refers to is that in Proceedings of the Edinburgh Mathematical Society, 40 (1997), 367–374. Taking it as an excuse we intend to realize a twofold purpose:
1$^\circ$ to atomize that important result showing by the way connections which are out of favour,
2$^\circ$ to rectify a tiny piece of history.
The objective 1$^\circ$ is going to be achieved by adopting means adequate to goals; it is of great gravity and this is just Mathematics. The other, 2$^\circ$, comes from the author's internal need of showing how ethical values in Mathematics are getting depreciated. The latter has nothing to do with the previous issue; the coincidence is totally accidental.
