Quasi-multipliers
HTML articles powered by AMS MathViewer
- by Kelly McKennon
- Trans. Amer. Math. Soc. 233 (1977), 105-123
- DOI: https://doi.org/10.1090/S0002-9947-1977-0458173-2
- PDF | Request permission
Abstract:
A quasi-multiplier m on an algebra A is a bilinear mapping from $A \times A$ into itself such that $m(ax,yb) = am(x,y)b$ for all $a,x,y,b \in A$. An introduction to the theory of quasi-multipliers on Banach algebras with minimal approximate identities is given and applications to ${C^\ast }$-algebras and group algebras are developed.References
- Charles A. Akemann and Gert K. Pedersen, Complications of semicontinuity in $C^{\ast }$-algebra theory, Duke Math. J. 40 (1973), 785–795. MR 358361
- Kelly McKennon, The strict topology and the Cauchy structure of the spectrum of a $C^{\ast }$-algebra, General Topology and Appl. 5 (1975), no. 3, 249–262. MR 380433, DOI 10.1016/0016-660X(75)90024-0
- Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496, DOI 10.1007/978-1-4419-8638-2 —, Abstract harmonic analysis. Vol. II, Springer-Verlag, New York and Berlin, 1970. MR 41 #7378; erratum, 42, p. 1825.
- Ronald Larsen, An introduction to the theory of multipliers, Die Grundlehren der mathematischen Wissenschaften, Band 175, Springer-Verlag, New York-Heidelberg, 1971. MR 0435738, DOI 10.1007/978-3-642-65030-7 Kelly McKennon, Errata for [7], [8], and [9]. Pacific J. Math. (to appear).
- John Griffin and Kelly McKennon, Multipliers and the group $L_{p}$-algebras, Pacific J. Math. 49 (1973), 365–370. MR 355479, DOI 10.2140/pjm.1973.49.365
- Kelly McKennon, Multipliers of type $(p,\,p)$, Pacific J. Math. 43 (1972), 429–436. MR 318782, DOI 10.2140/pjm.1972.43.429
- Kelly McKennon, Multipliers of type $(p,\,p)$ and multipliers of the group $L_{p}$-algebras, Pacific J. Math. 45 (1973), 297–302. MR 318783, DOI 10.2140/pjm.1973.45.297
- Kelly McKennon, Multipliers, positive functionals, positive-definite functions, and Fourier-Stieltjes transforms, Memoirs of the American Mathematical Society, No. 111, American Mathematical Society, Providence, R.I., 1971. MR 0440299
- J. G. Wendel, Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2 (1952), 251–261. MR 49911, DOI 10.2140/pjm.1952.2.251
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 233 (1977), 105-123
- MSC: Primary 46H05; Secondary 43A22, 46L05
- DOI: https://doi.org/10.1090/S0002-9947-1977-0458173-2
- MathSciNet review: 0458173