On the Arens products and certain Banach algebras
HTML articles powered by AMS MathViewer
- by Pak Ken Wong
- Trans. Amer. Math. Soc. 180 (1973), 437-448
- DOI: https://doi.org/10.1090/S0002-9947-1973-0318885-4
- PDF | Request permission
Abstract:
In this paper, we study several problems in Banach algebras concerned with the Arens products.References
- Richard Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839–848. MR 45941, DOI 10.1090/S0002-9939-1951-0045941-1
- Bruce A. Barnes, Banach algebras which are ideals in a Banach algebra, Pacific J. Math. 38 (1971), 1–7; correction, ibid. 39 (1971), 828. MR 310640, DOI 10.2140/pjm.1971.38.1
- Paul Civin, Annihilators in the second conjugate algebra of a group algebra, Pacific J. Math. 12 (1962), 855–862. MR 145363, DOI 10.2140/pjm.1962.12.855
- Paul Civin, Ideals in the second conjugate algebra of a group algebra, Math. Scand. 11 (1962), 161–174. MR 155200, DOI 10.7146/math.scand.a-10663
- 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, DOI 10.2140/pjm.1961.11.847
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
- T. Husain and Pak-Ken Wong, Quasi-complemented algebras, Trans. Amer. Math. Soc. 174 (1972), 141–154. MR 410377, DOI 10.1090/S0002-9947-1972-0410377-6
- Charles A. McCarthy, $c_{p}$, Israel J. Math. 5 (1967), 249–271. MR 225140, DOI 10.1007/BF02771613
- Tôzirô Ogasawara and Kyôichi Yoshinaga, Weakly completely continuous Banach $^*$-algebras, J. Sci. Hiroshima Univ. Ser. A 18 (1954), 15–36. MR 70068
- 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
- Minoru Tomita, The second dual of a $C^{\ast }$-algebra, Mem. Fac. Sci. Kyushu Univ. Ser. A 21 (1967), 185–193. MR 223908, DOI 10.2206/kyushumfs.21.185
- Pak-ken Wong, On the Arens product and annihilator algebras, Proc. Amer. Math. Soc. 30 (1971), 79–83. MR 281005, DOI 10.1090/S0002-9939-1971-0281005-2
- Pak Ken Wong, Modular annihilator $A^{\ast }$-algebras, Pacific J. Math. 37 (1971), 825–834. MR 305083, DOI 10.2140/pjm.1971.37.825
- Pak-ken Wong, The Arens product and duality in $B^{\ast }$-algebras. II, Proc. Amer. Math. Soc. 27 (1971), 535–538. MR 275176, DOI 10.1090/S0002-9939-1971-0275176-1
- Pak Ken Wong, On the Arens product and commutative Banach algebras, Proc. Amer. Math. Soc. 37 (1973), 111–113. MR 306912, DOI 10.1090/S0002-9939-1973-0306912-5
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 180 (1973), 437-448
- MSC: Primary 46H05
- DOI: https://doi.org/10.1090/S0002-9947-1973-0318885-4
- MathSciNet review: 0318885