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Authors
Affiliations
1 Department of Mathematics, Cochin University of Science & Technology, Kochi, Kerala 682 022, IN
2 Department of Mathematics, Hindustan Institute of Technology, Coimbatore, Tamil Nadu 641 032, IN
3 Kerala School of Mathematics, Kozhikode, Kerala 673 571, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 29, No 1 (2014), Pagination: 63–74
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.