When is $\mu \ast L _{1}$ closed?
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- by I. Glicksberg PDF
- Trans. Amer. Math. Soc. 160 (1971), 419-425 Request permission
Abstract:
For a finite measure $\mu$ on a locally compact abelian group, we partially answer the question of when $\mu \ast {L_1}$ is closed in ${L_1}$.References
- 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
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. MR 0410387
- 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
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 160 (1971), 419-425
- MSC: Primary 42.56; Secondary 46.00
- DOI: https://doi.org/10.1090/S0002-9947-1971-0288523-6
- MathSciNet review: 0288523