Some new Hilbert algebras
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- by R. Keown
- Trans. Amer. Math. Soc. 128 (1967), 71-87
- DOI: https://doi.org/10.1090/S0002-9947-1967-0213874-X
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References
- Warren Ambrose, Structure theorems for a special class of Banach algebras, Trans. Amer. Math. Soc. 57 (1945), 364–386. MR 13235, DOI 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 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 MR 0050172 E. R. Keown, Thesis, (unpublished), Mass.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 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 10.1007/BF01194650
- Hidegorô Nakano, Hilbert algebras, Tohoku Math. J. (2) 2 (1950), 4–23. MR 41362, DOI 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 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 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 10.1090/S0002-9939-1964-0169076-1
- M. F. Smiley, Right $H^*$-algebras, Proc. Amer. Math. Soc. 4 (1953), 1–4. MR 52699, DOI 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 10.2748/tmj/1178245512 C. W. Conatser, M.A. Thesis, (unpublished), Texas A&M Univ., College Station, 1963.
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- 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