Journal of the Ramanujan Mathematical Society

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Finite Dimensional Cebysev Subspaces of C*-Algebras


Affiliations
1 Department of Mathematics, Cochin University of Science & Technology, Kochi, Kerala 682 022, India
2 Department of Mathematics, Hindustan Institute of Technology, Coimbatore, Tamil Nadu 641 032, India
3 Kerala School of Mathematics, Kozhikode, Kerala 673 571, India
     

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In this note, a proposition due to G. K. Pedersen that characterizes a two dimensional Cebysev subspace of a C*-algebra is generalized to arbitrary finite dimension by introducing the concept of non-commutative Haar condition. In addition, the spectral condition in the two dimensional case is linked to boundary representations and Choquet boundary. Examples are provided to illustrate a comparison with classical results for function spaces.
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  • Finite Dimensional Cebysev Subspaces of C*-Algebras

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Authors

M. N. N. Namboodiri
Department of Mathematics, Cochin University of Science & Technology, Kochi, Kerala 682 022, India
S. Pramod
Department of Mathematics, Hindustan Institute of Technology, Coimbatore, Tamil Nadu 641 032, India
A. K. Vijayarajan
Kerala School of Mathematics, Kozhikode, Kerala 673 571, India

Abstract


In this note, a proposition due to G. K. Pedersen that characterizes a two dimensional Cebysev subspace of a C*-algebra is generalized to arbitrary finite dimension by introducing the concept of non-commutative Haar condition. In addition, the spectral condition in the two dimensional case is linked to boundary representations and Choquet boundary. Examples are provided to illustrate a comparison with classical results for function spaces.