Some new Hilbert algebras
Author:
R. Keown
Journal:
Trans. Amer. Math. Soc. 128 (1967), 71-87
MSC:
Primary 46.50
DOI:
https://doi.org/10.1090/S0002-9947-1967-0213874-X
MathSciNet review:
0213874
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Warren Ambrose, Structure theorems for a special class of Banach algebras, Trans. Amer. Math. Soc. 57 (1945), 364–386. MR 13235, DOI https://doi.org/10.1090/S0002-9947-1945-0013235-8
- W. Ambrose, The $L_2$-system of a unimodular group. I, Trans. Amer. Math. Soc. 65 (1949), 27–48. MR 28322, DOI https://doi.org/10.1090/S0002-9947-1949-0028322-1
- N. K. Bari, Biorthogonal systems and bases in Hilbert space, Moskov. Gos. Univ. Učenye Zapiski Matematika 148(4) (1951), 69–107 (Russian). MR 0050171
- I. M. Gel′fand, Remark on the work of N. K. Bari, “Biorthogonal systems and bases in Hilbert space.”, Moskov. Gos. Univ. Učenye Zapiski Matematika 148(4) (1951), 224–225 (Russian). MR 0050172 E. R. Keown, Thesis, (unpublished), Mass. Inst. of Tech., Cambridge, 1950.
- E. R. Keown, Reflexive Banach algebras, Proc. Amer. Math. Soc. 6 (1955), 252–259. MR 68748, DOI https://doi.org/10.1090/S0002-9939-1955-0068748-1
- S. Lewin, Über einige mit der Konvergenz im Mittel verbundenen Eigenschaften von Funktionenfolgen, Math. Z. 32 (1930), no. 1, 491–511 (German). MR 1545182, DOI https://doi.org/10.1007/BF01194650
- Hidegorô Nakano, Hilbert algebras, Tohoku Math. J. (2) 2 (1950), 4–23. MR 41362, DOI https://doi.org/10.2748/tmj/1178245666
- M. Rajagopalan, $H$-algebras, J. Indian Math. Soc. (N.S.) 25 (1961), 1–25. MR 138015
- 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
- Parfeny P. Saworotnow, On a generalization of the notion of $H^*$-algebra, Proc. Amer. Math. Soc. 8 (1957), 49–55. MR 85480, DOI https://doi.org/10.1090/S0002-9939-1957-0085480-0
- Parfeny P. Saworotnow, On the imbedding of a right complemented algebra into Ambrose’s $H^*$-algebra, Proc. Amer. Math. Soc. 8 (1957), 56–62. MR 85481, DOI https://doi.org/10.1090/S0002-9939-1957-0085481-2
- Parfeny P. Saworotnow, On a realization of a complemented algebra, Proc. Amer. Math. Soc. 15 (1964), 964–966. MR 169076, DOI https://doi.org/10.1090/S0002-9939-1964-0169076-1
- M. F. Smiley, Right $H^*$-algebras, Proc. Amer. Math. Soc. 4 (1953), 1–4. MR 52699, DOI https://doi.org/10.1090/S0002-9939-1953-0052699-0
- J. F. Smith and P. P. Saworotnow, On some classes of scalar-product algebras, Pacific J. Math. 11 (1961), 739–750. MR 142010
- Osamu Takenouchi, On the maximal Hilbert algebras, Tohoku Math. J. (2) 3 (1951), 123–131. MR 50178, DOI https://doi.org/10.2748/tmj/1178245512 C. W. Conatser, M.A. Thesis, (unpublished), Texas A&M Univ., College Station, 1963.
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© Copyright 1967
American Mathematical Society