Properties of three algebras related to $L_p$-multipliers
HTML articles powered by AMS MathViewer
- by Michael J. Fisher PDF
- Bull. Amer. Math. Soc. 80 (1974), 262-265
References
- Gregory F. Bachelis and John E. Gilbert, Banach spaces of compact multipliers and their dual spaces, Math. Z. 125 (1972), 285–297. MR 338693, DOI 10.1007/BF01110992
- 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
- 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
- W. F. Eberlein, Characterizations of Fourier-Stieltjes transforms, Duke Math. J. 22 (1955), 465–468. MR 72424 5. P. Eymard, Algèbres A, Sem. Bourbaki 1969/1970, Springer-Verlag Lecture Notes No. 180, Berlin, 1971.
- Alessandro Figà-Talamanca, Translation invariant operators in $L^{p}$, Duke Math. J. 32 (1965), 495–501. MR 181869
- Alessandro Figà-Talamanca and G. I. Gaudry, Density and representation theorems for multipliers of type $(p,\,q)$, J. Austral. Math. Soc. 7 (1967), 1–6. MR 0209770
- Michael J. Fisher, Recognition and limit theorems for $L_{p}$-multipliers, Studia Math. 50 (1974), 31–41. MR 372537, DOI 10.4064/sm-50-1-31-41
- Michael J. Fisher, Multipliers on $p$-Fourier algebras, Studia Math. 54 (1975), no. 2, 109–116. Version prepared by S. Kwapień. MR 420137, DOI 10.4064/sm-54-2-109-116
- Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539
- Carl Herz, The theory of $p$-spaces with an application to convolution operators, Trans. Amer. Math. Soc. 154 (1971), 69–82. MR 272952, DOI 10.1090/S0002-9947-1971-0272952-0
- Sheila A. McKilligan, On the representation of the multiplier algebras of some Banach algebras, J. London Math. Soc. (2) 6 (1973), 399–402. MR 318881, DOI 10.1112/jlms/s2-6.3.399
- Marc A. Rieffel, Induced Banach representations of Banach algebras and locally compact groups, J. Functional Analysis 1 (1967), 443–491. MR 0223496, DOI 10.1016/0022-1236(67)90012-2
- Sadahiro Saeki, Translation invariant operators on groups, Tohoku Math. J. (2) 22 (1970), 409–419. MR 275057, DOI 10.2748/tmj/1178242767
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 262-265
- MSC (1970): Primary 43A22; Secondary 43A15, 46J10, 47D15
- DOI: https://doi.org/10.1090/S0002-9904-1974-13453-1
- MathSciNet review: 0336234