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

Banach Center Publications (2010)

- Volume: 89, Issue: 1, page 275-295
- ISSN: 0137-6934

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topFranciszek Hugon Szafraniec. "Murphy's "Positive definite kernels and Hilbert C*-modules" reorganized." Banach Center Publications 89.1 (2010): 275-295. <http://eudml.org/doc/281731>.

@article{FranciszekHugonSzafraniec2010,

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° to atomize that important result showing by the way connections which are out of favour,
2° to rectify a tiny piece of history.
The objective 1° is going to be achieved by adopting means adequate to goals; it is of great gravity and this is just Mathematics. The other, 2°, 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.
},

author = {Franciszek Hugon Szafraniec},

journal = {Banach Center Publications},

keywords = {-algebra; -semigroup; Hilbert -module; -positive definite kernel; dilation theory; KSGNS; subnormality},

language = {eng},

number = {1},

pages = {275-295},

title = {Murphy's "Positive definite kernels and Hilbert C*-modules" reorganized},

url = {http://eudml.org/doc/281731},

volume = {89},

year = {2010},

}

TY - JOUR

AU - Franciszek Hugon Szafraniec

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

JO - Banach Center Publications

PY - 2010

VL - 89

IS - 1

SP - 275

EP - 295

AB -
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° to atomize that important result showing by the way connections which are out of favour,
2° to rectify a tiny piece of history.
The objective 1° is going to be achieved by adopting means adequate to goals; it is of great gravity and this is just Mathematics. The other, 2°, 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.

LA - eng

KW - -algebra; -semigroup; Hilbert -module; -positive definite kernel; dilation theory; KSGNS; subnormality

UR - http://eudml.org/doc/281731

ER -

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