Free C - algebras and the problem of uniqueness of extension in non-commutative Hahn-Banach Theorem

1 Introduction and main resultsARVESON in ref. [1] generalized the classical Hahn-Banach Extension Theorem for linear func-tionals to the self-adjoint linear closed subspace of C~* -algebras. From then on numerous au-thors have given various generalizations of the non-commutative Hahn-Banach-Arveson...

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Bibliographic Details
Published in中国科学通报：英文版 no. 13; pp. 1076 - 1079
Format Journal Article
LanguageEnglish
Published 01.07.1997
Subjects
algebras
complete
contraction
Free
hereditary
operator
spaces
subalgebras
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Summary:1 Introduction and main resultsARVESON in ref. [1] generalized the classical Hahn-Banach Extension Theorem for linear func-tionals to the self-adjoint linear closed subspace of C~* -algebras. From then on numerous au-thors have given various generalizations of the non-commutative Hahn-Banach-Arveson Theo-rem of ref. [1]. The following extension theorem is due to G. Wittstock.
Bibliography:ZHANG Lunchuan and MA JipuDepartment of Mathematics, Nanjing University, Nanjing 210093, China
10-1298/N
ISSN:1001-6538
1861-9541