Bulletin of the American Mathematical Society

MathSciNet review: 1567051
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Book Information:

Author: Hwai-Chiuan Wang
Title: Homogeneous Banach algebras
Additional book information: Lecture Notes in Pure and Applied Mathematics, Volume 29, Marcel Dekker, Inc., New York and Basel, 1977, vii + 204 pp., $19.75.

James T. Burnham, Segal algebras and dense ideals in Banach algebras, Functional analysis and its applications (Internat. Conf., Eleventh Anniversary of Matscience, Madras, 1973; dedicated to Alladi Ramakrishnan), Lecture Notes in Math., Vol. 399, Springer, Berlin, 1974, pp. 33–58. MR 0415204

Paul J. Cohen, On homomorphisms of group algebras, Amer. J. Math. 82 (1960), 213–226. MR 133398, DOI 10.2307/2372732

Paul J. Cohen, Factorization in group algebras, Duke Math. J. 26 (1959), 199–205. MR 104982

Philip C. Curtis Jr. and Alessandro Figà-Talamanca, Factorization theorems for Banach algebras, Function Algebras (Proc. Internat. Sympos. on Function Algebras, Tulane Univ., 1965) Scott-Foresman, Chicago, Ill., 1966, pp. 169–185. MR 0203500

I. Gelfand, Normierte Ringe, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 3–24 (German, with Russian summary). MR 0004726

Edwin Hewitt, The ranges of certain convolution operators, Math. Scand. 15 (1964), 147–155. MR 187016, DOI 10.7146/math.scand.a-10738

J.-P. Kahane, Idempotents and closed subalgebras of $A(Z)$, Function Algebras (Proc. Internat. Sympos. on Function Algebras, Tulane Univ., 1965) Scott-Foresman, Chicago, Ill., 1966, pp. 198–207. MR 0196524

H. Reiter, Subalgebras of $L^{1}\,(G)$, Nederl. Akad. Wetensch. Proc. Ser. A 68 = Indag. Math. 27 (1965), 691–696. MR 0196515

Hans Reiter, Classical harmonic analysis and locally compact groups, Clarendon Press, Oxford, 1968. MR 0306811

Hans Reiter, $L^{1}$-algebras and Segal algebras, Lecture Notes in Mathematics, Vol. 231, Springer-Verlag, Berlin-New York, 1971. MR 0440280

Daniel Rider, Closed subalgebras of $L^{1}(T)$, Duke Math. J. 36 (1969), 105–115. MR 243286

Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834

Norbert Wiener, Tauberian theorems, Ann. of Math. (2) 33 (1932), no. 1, 1–100. MR 1503035, DOI 10.2307/1968102

1.

J. T. Burnham, Segal algebras and dense ideals in Banach algebras, Proc. Conf. on Functional Anal. and Applications, Madras, 1973, Lecture Notes in Math., vol. 399, Springer-Verlag, Berlin, Heidelberg, New York, 1974, 33-58. MR 0415204

2.

P. J. Cohen, On homomorphisms of group algebras, Amer. J. Math. 82 (1960), 213-226. MR 24 #A3232. MR 133398

3.

P. J. Cohen, Factorization in group algebras, Duke Math. J. 26 (1959), 199-205. MR 21 #3729. MR 104982

4.

P. C. Curtis, Jr. and A. Figà-Talamanca, Factorization theorems for Banach algebras, Function algebras, Scott-Foresman, Chicago, III., 1966, pp. 169-185. MR 34 #3350. MR 203500

5.

I. M. Gelfand, Normierte Ringe, Mat. Sbornik (N.S.) 9 (1941), 3-24. MR 4726

6.

E. Hewitt, The ranges of certain convolution operators, Math. Scand. 15 (1964), 147-155. MR 32 #4471. MR 187016

7.

J.-P. Kahane, Idempotents and closed subalgebras of A (Z), Function Algebras, Scott Foresman, Chicago, III., 1966, pp. 198-207. MR 33 #4711. MR 196524

8.

H. Reiter, Subalgebras of L, Nederl. Akad. Wetensch. Proc. Ser. A 68 (1965), 691-696. MR 33 #4702. MR 196515

9.

H. Reiter, Classical harmonic analysis and locally compact groups, Oxford Univ. Press, Oxford, 1966. MR 46 #5933. MR 306811

10.

H. Reiter, L, Lecture Notes in Math., vol. 231, Springer-Verlag, Berlin, Heidelberg, New York, 1971. MR 440280

11.

D. Rider, Closed subalgebras of L, Duke Math. J. 36 (1969), 105-116. MR 39 #4608. MR 243286

12.

W. Rudin, Fourier analysis on groups, Interscience, Wiley, New York, 1962. MR 27 #2808. MR 152834

13.

N. Wiener, Tauberian theorems, Ann. of Math. (2) 33 (1932), 1-100. MR 1503035