Factorisation without bounded approximate identities

• Autorzy: J. A. Ward
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1992
• Tom: 63
• Numer: 2
• Strony: 273-284

Daty

wydano

1992

otrzymano

1990-02-16

poprawiono

1991-04-15

Twórcy

autor

J. A. Ward

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

Bibliografia

• [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 $L^p$-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.