EXTENSION OF MULTIPLIERS AND INJECTIVE HILBERT MODULES
Citation:
Lin Huaxin.EXTENSION OF MULTIPLIERS AND INJECTIVE HILBERT MODULES[J].Chinese Annals of Mathematics B,1993,14(3):387~396
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Authors:
Lin Huaxin;
Abstract:
The author studies the problem whether a multiplier of a hereditary C^*-subalgebra B of a C^*-algebra A can be extended to a multiplier of A. One related problem is the Hahn-Banach extension theorem for Hilbert modules over C^*-algebras. It is shown that every self-dual Hilbert module over W^*-algebra or an injective C^*-algebra is injective.