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THE REALIZATION OF MULTIPLIER HILBERT BIMODULE ON BIDUAL SPACE AND TIETZE EXTENSION THEOREM |
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Citation: |
FANG Xiaochun.THE REALIZATION OF MULTIPLIER HILBERT BIMODULE ON BIDUAL SPACE AND TIETZE EXTENSION THEOREM[J].Chinese Annals of Mathematics B,2000,21(3):375~380 |
Page view: 1232
Net amount: 926 |
Authors: |
FANG Xiaochun; |
Foundation: |
Project supported by the National Natural Science Foundation of China (No.19601029). |
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Abstract: |
The multiplier bimodule of Hilbert bimodule is introduced in a way similar to [1], and its realization on a quotient of bidual space and Tietze extension theorem are obtained similar to that in C^*-algebra case. As a result, the multiplier bimodule here is also a Hilbert bimodule. |
Keywords: |
Realization on bidual space, Multiplier Hilbert bimodule, Tietze extension theorem |
Classification: |
46L40 |
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