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Multipliers of a Banach algebra in the second conjugate algebra as an idealizer. (English) Zbl 0293.46037

46H99Topological algebras, normed rings and algebras, Banach algebras
47C05Operators in topological algebras
Full Text: DOI
[1] C. A. AKEMANN, G. K. PEDEKSEN AND J. TOMIYAMA, Multipliers of C*-algebras, J. Func-tional Analysis 13 (1973), 277-301. · Zbl 0258.46052 · doi:10.1016/0022-1236(73)90036-0
[2] R. C. BUSBY, Double centralizers and extension of C*-algebras, Trans. Amer. Math Soc, 132(1968), 79-99. · Zbl 0165.15501 · doi:10.2307/1994883
[3] P. CIVIN, Ideals in the second conjugate algebra of a group algebras, Math. Scand., 1 (1962), 161-174. · Zbl 0178.16603 · eudml:165825
[4] P. CIVIN AND B. YOOD, The second conjugate space of a Banach algebra as an algebra, Pacific J. Math., 11 (1961), 847-870. · Zbl 0119.10903 · doi:10.2140/pjm.1961.11.847
[5] B. E. JOHNSON, An introduction to the theory of centralizers, Proc. London Math. Soc, 14 (1964), 299-320. · Zbl 0143.36102 · doi:10.1112/plms/s3-14.2.299
[6] B. E. JOHNSON, Centralizers on certain topological algebras, J. London Math. Soc, 39(1964), 603-614. · Zbl 0124.06902 · doi:10.1112/jlms/s1-39.1.603
[7] L. MATE, The Arens product and multiplier operators, Studia Math., 28(1967), 227-234 · Zbl 0158.14103 · eudml:217194
[8] C. K. RICKART, General Theory of Banach Algebras, Van Nostrand, 1960 · Zbl 0095.09702
[9] W. RUDIN, Fourier Analysis on Groups, Interscience, 1962 · Zbl 0107.09603
[10] B. J. TOMIUK AND P. K. WONG, The Arens product and duality in ¬£ *-algebras, Proc Amer. Math. Soc, 25(1970), 529-534. 452H. -C. LAI · Zbl 0198.17902 · doi:10.2307/2036637
[11] P. K. WONG, The Arens product and duality in i?*-algebras, Proc. Amer. Math. Soc, 27(1971), 535-538. · Zbl 0209.44404 · doi:10.2307/2036493
[12] P. K. WONG, On the Arens product and annihilator algebras, Proc. Amer. Math. Soc, 30(1971), 79-83. JSTOR: · Zbl 0218.46059 · doi:10.2307/2038226 · http://links.jstor.org/sici?sici=0002-9939%28197109%2930%3A1%3C79%3AOTAPAA%3E2.0.CO%3B2-E&origin=euclid