C*-seminorms

Bertram Yood

Studia Mathematica (1996)

  • Volume: 118, Issue: 1, page 19-26
  • ISSN: 0039-3223

Abstract

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A necessary and sufficient condition is given for a*-algebra with identity to have a unique maximal C*-seminorm. This generalizes the result, due to Bonsall, that a Banach *-algebra with identity has such a*-seminorm.

How to cite

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Yood, Bertram. "C*-seminorms." Studia Mathematica 118.1 (1996): 19-26. <http://eudml.org/doc/216259>.

@article{Yood1996,
abstract = {A necessary and sufficient condition is given for a*-algebra with identity to have a unique maximal C*-seminorm. This generalizes the result, due to Bonsall, that a Banach *-algebra with identity has such a*-seminorm.},
author = {Yood, Bertram},
journal = {Studia Mathematica},
keywords = {*-algebra with identity; unique maximal -seminorm; Banach *-algebra},
language = {eng},
number = {1},
pages = {19-26},
title = {C*-seminorms},
url = {http://eudml.org/doc/216259},
volume = {118},
year = {1996},
}

TY - JOUR
AU - Yood, Bertram
TI - C*-seminorms
JO - Studia Mathematica
PY - 1996
VL - 118
IS - 1
SP - 19
EP - 26
AB - A necessary and sufficient condition is given for a*-algebra with identity to have a unique maximal C*-seminorm. This generalizes the result, due to Bonsall, that a Banach *-algebra with identity has such a*-seminorm.
LA - eng
KW - *-algebra with identity; unique maximal -seminorm; Banach *-algebra
UR - http://eudml.org/doc/216259
ER -

References

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  1. [1] F. F. Bonsall, A survey of Banach algebra theory, Bull. London Math. Soc. 2 (1970), 257-274. Zbl0207.44201
  2. [2] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, 1973. Zbl0271.46039
  3. [3] I. Gelfand and M. Naimark, Rings with involution and their representations, Izv. Akad. Nauk SSSR Ser. Mat. 12 (1948), 445-480 (in Russian). 
  4. [4] I. Kaplansky, Topological algebras, Dept. of Math., Univ. of Chicago, 1952 (mimeographed notes). Zbl0048.26902
  5. [5] I. Kaplansky, Topological Algebras, Notas Mat. 16, Rio de Janeiro, 1959. 
  6. [6] M. Naimark, Normed Rings, Noordhoff, Groningen, 1960. 
  7. [7] V. Pták, Banach algebras with involution, Manuscripta Math. 6 (1972), 245-290. Zbl0229.46054
  8. [8] C. E. Rickart, General Theory of Banach Algebras, Van Nostrand, Princeton, 1960. 
  9. [9] B. Yood, Homomorphisms on normed algebras, Pacific J. Math. 8 (1958), 373-381. Zbl0084.33601
  10. [10] B. Yood, Faithful *-representations of normed algebras, ibid. 10 (1960), 345-363. 

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