Continuity of translation invariant linear functionals onC 0(G) for certain locally compact groupsG

G. A. Willis

doi:10.1007/bf01501168

journal article Jun 01, 1988

Continuity of translation invariant linear functionals onC 0(G) for certain locally compact groupsG

G. A. Willis

Monatshefte f�r Mathematik Vol. 105 No. 2 pp. 161-164 · Springer Science and Business Media LLC

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References

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Bourgain, J.: Translation invariant forms onL p (G), 1<p<?. Preprint.

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Drinfield, V. G.: Finitely additive measure onS 2 andS 3, invariant with respect to rotations. Functional Anal. Appl.18, 245?246 (1984). 10.1007/bf01086166

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Dunford, N., Schwartz, J. T.: Linear Operators I, New York: Interscience. 1957.

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Greenleaf, F. P.: Invariant Means on Topological Groups. New York: Van Nostrand. 1969.

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Johnson, B. E.: A proof of the translation invariant form conjecture forL 2(G). Bull. Sci. Math. (2)107, 301?310 (1983).

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Margulis, G. A.: Some remarks on invariant means. Mh. Math.90 233?235 (1980). 10.1007/bf01295368

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Meisters, G. H.: Some problems and results on translation-invariant linear forms. Lect. Notes. Math. 975. Berlin-Heidelberg-New York: Springer. 1983.

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Reiter, H.: Classical Harmonic Analysis and Locally Compact Groups. London: Oxford Univ. Press. 1968.

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Rosenblatt, J. M.: Translation invariant linear forms onL p (G). Proc. Amer. Math. Soc.94, 226?228 (1985).

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Saeki, S.: Discontinuous translation invariant functionals. Trans. Amer. Math. Soc.282, 403?414 (1984). 10.1090/s0002-9947-1984-0728720-5

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Schmidt, K.: Amenability, Kazhdan's propertyT, strong ergodicity and invariant means for ergodic group-actions. Ergodic Theory and Dynamical Systems1, 223?236 (1981). 10.1017/s014338570000924x

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Sullivan, D.: Forn>3 there is only one finitely-additive rotationally invariant measure on then-sphere defined on all Lebesgue measurable sets. Bull. Amer. Math. Soc.4, 121?123 (1981). 10.1090/s0273-0979-1981-14880-1

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Willis, G. A.: Translation invariant functionals onL p (G) whenG is not amenable. J. Aust. Math. Soc. (Series A)41, 237?250 (1986). 10.1017/s1446788700033656

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Published: Jun 01, 1988
Vol/Issue: 105(2)
Pages: 161-164
License: View

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G. A. Willis

Cite This Article

G. A. Willis (1988). Continuity of translation invariant linear functionals onC 0(G) for certain locally compact groupsG. Monatshefte f�r Mathematik, 105(2), 161-164. https://doi.org/10.1007/bf01501168

Continuity of translation invariant linear functionals onC 0(G) for certain locally compact groupsG

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