Closed Ideals of the Algebra of Absolutely Continuous Functions

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Authors

  • M. H. Vasavada
     Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar ,IN

Abstract

The algebra AC ([0, 1]) (which we shall denote henceforth by AC) of absolutely continuous complex-valued functions on [0, 1], with norm.

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Published

1974-12-01

How to Cite

Vasavada, M. H. (1974). Closed Ideals of the Algebra of Absolutely Continuous Functions. The Journal of the Indian Mathematical Society, 38(1-4), 365–370. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16713

Issue

Volume 38, Issue 1-4, March-December 1974

Section

Articles

License

Copyright (c) 1974 M. H. Vasavada

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

M. CAMBERN: Isometries of certain Banach algebras, Studia Math. 25 (1965), 217-225.

L. LOOMIS: An introduction to abstract harmonic analysis. Van Nostrand, New York 1953.

N. V. RAO AND A. K. ROY: Linear isometries of some function spaces, Pacific J. Math. 38 (1971),177-192.

D. SHERBERT: The structure of ideals and point derivations in Banach algebras of Lipschitz functions, Trans. Amer. Math. Soc. Ill (1964), 240-272.

G. SILOV: Homogeneous rings of functions, Trans. Amer. Math. Soc. (1)8 (1962) 392-455.