On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group
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Date
2011
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Abstract
The hull-minimal ideals are discussed for the Harish-Chandra Schwartz algebra of a connected semi-simple Lie group G. In particular, we construct the basis elements for these ideals, and, when restricted to the Schwartz algebra of r-spherical functions on G, we characterize the hullminimal ideals in terms of the cusp forms.
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Keywords
Hull-minimal ideals in Frechet Algebra, Frechet Algebra, Hull-minimal ideals in L(G)
Citation
Bassey, U. N. and Oyadare, O. O. (2011). On Hull-Minimal Ideals in the Schwartz Algebras of Spherical Functions on a Semi-Simple Lie Group. International Journal of Functional Analysis, Operator Theory and Applications, 3 (1): 37 – 52.