Some Properties of Arveson Spectrum on Locally Compact Hypergroups

Authors
University of Qom
Abstract
In this paper we study the concept of Arveson spectrum on locally compact hypergroups and for an important class of compact countable hypergroups .


In thiis paper we study the concept of Arveson spectrum on locally compact hypergroups and develop its basic properties for an important class of compact countable hypergroups ../files/site1/files/52/6.pdf
Keywords

Bloom W. R., Heyer H., "Harmonic Analysis of Probability Measures on Hypergroups", De Gruter, Berlin (1995).## Chilana A. K., Ross K. A., "Spectral synthesis in hypergroups", Pacific Journal of Math., 76 (2) (1978) 313-328. ## Connes A., "Une classification des facteurs de type(III)", Ann .Sci .Ecole Norm. Sup., 6 (1973) 133-252. ## Dunkl C. F., "The measure algebra of a locally compact hypergroup", Trans. Amer. Math. Soc., 179 (1973) 331-348. ## Dunkl C. F., Ramirez D. E., "A family of countably compact P_*-hypergroups", Trans. Amer. Math. Soc., 202 (1975) 339-356. ## Godement R., "Theoremes tuuberiens et theorie spectral", Ann. sci. Ecole Norm. Sup., 63 (1974) 119-138. ## Jewett R. I., "Spaces with an abstract convolution of measures", Adv. in Math. 18 (1975) 1-101. Li B. R., "Introduction to Operator Algebras", World scientific, Hong Kong, London, New Jersey, Singapore(1992). ## Medghalchi A. R., Tabatabaie S. M., "Spectral subspaces on hypergroup algebras", Publ. Math. Debrecen, 74 (2009) 307-320. ## Ross K. A., "Centers of hypergroups", Trans. Amer. Math. Soc., 243 (1978) 251-269. ## Spector R., "Apercu de la theorie des hypergroups", In: Analyse Harmonique sur les Groups de Lie, 643–673, Lec. Notes Math. Ser., 497, Springer (1975). ## Spector R., "Measure invariantes sur les hypergroups", Trans. Amer. Math. Soc., 239 (1978) 147-165. ##