C*-seminorms

• Autorzy: Bertram Yood
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46K05: General theory of topological algebras with involution

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1996
• Tom: 118
• Numer: 1
• Strony: 19-26

Daty

wydano

1996

otrzymano

1994-10-07

poprawiono

1995-09-20

Twórcy

autor

Bertram Yood

• Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A.

Bibliografia

• [1] F. F. Bonsall, A survey of Banach algebra theory, Bull. London Math. Soc. 2 (1970), 257-274.
• [2] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, 1973.
• [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).
• [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.
• [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.
• [10] B. Yood, Faithful *-representations of normed algebras, ibid. 10 (1960), 345-363.