×

On the relation between amenability of locally compact groups and the norms of convolution operators. (English) Zbl 0264.43003


MSC:

43A07 Means on groups, semigroups, etc.; amenable groups
43A85 Harmonic analysis on homogeneous spaces
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Day, M. M.: Convolutions, means and spectra. Ill. J. of Math.8, 100-111 (1964) · Zbl 0122.11703
[2] Eymard, P.: Moyennes invariantes et représentations unitaires. Lecture Notes in Mathematics No. 300. Berlin, Heidelberg, New York: Springer 1972 · Zbl 0249.43004
[3] Greenleaf, F. P.: Invariant means on topological groups. New York: Van Nostrand Company, 1969 · Zbl 0174.19001
[4] Heyer, H.: Über Haarsche Masse auf lokalkompakten Gruppen. Arch. der Math. XVII, 348-351 (1966) · Zbl 0138.02904
[5] Rudin, W.: Real and complex analysis. New York: McGraw-Hill, 1966 · Zbl 0142.01701
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.