Characterizations of -algebras. II
Author:
T. W. Palmer
Journal:
Trans. Amer. Math. Soc. 148 (1970), 577-588
MSC:
Primary 46.65
DOI:
https://doi.org/10.1090/S0002-9947-1970-0262842-0
MathSciNet review:
0262842
Full-text PDF Free Access
References | Similar Articles | Additional Information
- [1] H. F. Bohnenblust and S. Karlin, Geometrical properties of the unit sphere of Banach algebras, Ann. of Math. (2) 62 (1955), 217–229. MR 71733, https://doi.org/10.2307/1969676
- [2] Paul Civin and Bertram Yood, The second conjugate space of a Banach algebra as an algebra, Pacific J. Math. 11 (1961), 847–870. MR 143056
- [3] M. M. Day, Normed linear spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Heft 21, Academic Press, New York and Springer-Verlag, Berlin, 1962. MR 26 #2847.
- [4] Jacques Dixmier, Les 𝐶*-algèbres et leurs représentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Éditeur-Imprimeur, Paris, 1964 (French). MR 0171173
- [5] Richard V. Kadison, A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., No. 7 (1951), 39. MR 0044040
- [6] G. Lumer, Semi-inner-product spaces, Trans. Amer. Math. Soc. 100 (1961), 29–43. MR 133024, https://doi.org/10.1090/S0002-9947-1961-0133024-2
- [7] T. W. Palmer, Unbounded normal operators on Banach spaces, Thesis, Harvard Univ., Cambridge, Mass., 1965.
- [8] T. W. Palmer, Characterizations of 𝐶*-algebras, Bull. Amer. Math. Soc. 74 (1968), 538–540. MR 222659, https://doi.org/10.1090/S0002-9904-1968-11998-6
- [9] Alan L. T. Paterson, Isometries between 𝐵*-algebras, Proc. Amer. Math. Soc. 22 (1969), 570–572. MR 246137, https://doi.org/10.1090/S0002-9939-1969-0246137-4
- [10] Anthony L. Peressini, Ordered topological vector spaces, Harper & Row, Publishers, New York-London, 1967. MR 0227731
- [11] Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
- [12] B. Russo and H. A. Dye, A note on unitary operators in 𝐶*-algebras, Duke Math. J. 33 (1966), 413–416. MR 193530
- [13] Ivan Vidav, Eine metrische Kennzeichnung der selbstadjungierten Operatoren, Math. Z. 66 (1956), 121–128 (German). MR 84733, https://doi.org/10.1007/BF01186601
- [14] James P. Williams, Spectra of products and numerical ranges, J. Math. Anal. Appl. 17 (1967), 214–220. MR 203491, https://doi.org/10.1016/0022-247X(67)90146-1
Retrieve articles in Transactions of the American Mathematical Society with MSC: 46.65
Retrieve articles in all journals with MSC: 46.65
Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1970-0262842-0
Article copyright:
© Copyright 1970
American Mathematical Society