# C*-seminorms

Studia Mathematica (1996)

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

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topYood, 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

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

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