Murphy's “Positive definite kernels and Hilbert $C^*$-modules” reorganized

Tom 89 / 2010

Franciszek Hugon Szafraniec Banach Center Publications 89 (2010), 275-295 MSC: Primary 46L08; Secondary 46E22. DOI: 10.4064/bc89-0-19


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.


  • Franciszek Hugon SzafraniecInstytut Matematyki
    Uniwersytet Jagielloński
    Łojasiewicza 6
    30-348 Kraków, Poland

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