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ArticleOriginal scientific text

Title

Factorisation without bounded approximate identities

Authors 1

Affiliations

  1. School of Mathematical and Physical Sciencesi, Murdoch University, South Street, Murdoch, Perth, Western Australia 6150, Australia

Bibliography

  1. P. J. Cohen, Factorization in group algebras, Duke Math. J. 26 (1959), 199-205.
  2. P. C. Curtis Jr. and A. Figà-Talamanca, Factorization theorems for Banach algebras, in: Function Algebras, Scott, Foresman and Co., Chicago 1966, 169-185.
  3. P. G. Dixon, Factorization and unbounded approximate identities in Banach algebras, Math. Proc. Cambridge Philos. Soc. 107 (1990), 557-571.
  4. R. E. Edwards, Lipschitz conditions and lacunarity, J. Austral. Math. Soc. 16 (1973), 272-277.
  5. R. E. Edwards, Fourier Series: a Modern Introduction, I, II, 2nd ed., Springer, New York 1979, 1982.
  6. H. G. Feichtinger and M. Leinert, Individual factorization in Banach modules, Colloq. Math. 51 (1987), 107-117.
  7. E. Hewitt, The ranges of certain convolution operators, Math. Scand. 15 (1964), 147-155.
  8. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, I, II, Springer, Berlin 1963, 1970.
  9. Y. Katznelson, An Introduction to Harmonic Analysis, Wiley, New York 1968.
  10. S. M. Khaleelulla, Counterexamples in Topological Vector Spaces, Lecture Notes in Math. 936, Springer, Berlin 1982.
  11. E. Kreysig, Introductory Functional Analysis with Applications, Wiley, New York 1978.
  12. W. Rudin, Factorization in the group algebra of the real line, Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 339-340.
  13. W. Rudin, Representaion of functions by convolutions, J. Math. Mech. 7 (1958), 103-115.
  14. S. Saeki, The Lp-conjecture and Young's inequality, Illinois J. Math. 34 (1990), 614-627.
  15. R. Salem, Sur les transformations des séries de Fourier, Fund. Math. 33 (1945), 108-114.
  16. H. C. Wang, Homogeneous Banach Algebras, Marcel Dekker, New York 1977.
  17. A. Wilansky, Functional Analysis, Blaisdell, New York 1964.
  18. G. Willis, Examples of factorisation without bounded approximate identities, preprint, 1989.
Colloquium Mathematicum
1992/63/2
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Pages:
273-284
Main language of publication
English
Received
1990-02-16
Accepted
1991-04-15
Published
1992
Exact and natural sciences