Abstract
We present a new and elementary approach to characterize the maximal ideals and their associated multiplicative linear functionals for a classical real Banach algebra of analytic functions.
Similar content being viewed by others
References
Gelfand I, Raikov D and Shilov G, Commutative Normed Rings (New York: Chelsea Publ.) (1964)
Ingelstam L, Real Banach algebras, Arkiv Mat. 5 (1964) 239–270
Katznelson Y, An Introduction to Harmonic Analysis (New York: Dover Publ.) (1976)
Kulkarni SH and Limaye BV, Real Function Algebras (NewYork: Marcel Dekker) (1992)
Mortini R and Rupp R, A constructive proof of the Nullstellensatz for subalgebras of A(K), Publ. du CUL, Séminaire de Math. de Luxembourg, Travaux Mathématiques III (1991) pp. 45–50
Mortini R and Wick B D, Simultaneous stabilization in A ℝ(ⅅ), Studia Math. 191 (2009) 223–235
Rupp R and Sasane A, On the stable rank and reducibility in algebras of real symmetric functions, to appear in Math. Nachr.
Sasane A, Algebras of Holomorphic Functions and Control Theory (Mineola, New York: Dover Publications) (2009)
Wick B D, A note about stabilization in the real disk algebra, Math. Nachr. 282 (2009) 912–916
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mortini, R. A distinguished real Banach algebra. Proc Math Sci 119, 629–634 (2009). https://doi.org/10.1007/s12044-009-0062-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12044-009-0062-8