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| EXTENSIONS OF HILBERT MODULES AND HANKEL OPERATORS |
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Citation： |
GUO Kunyu.EXTENSIONS OF HILBERT MODULES AND HANKEL OPERATORS[J].Chinese Annals of Mathematics B,2000,21(1):17~24 |
| Page view： 1148
Net amount： 696 |
Authors： |
GUO Kunyu; |
Foundation： |
Project supported by the National Natural Science Foundation of China and Mathematics Center of the Ministry of Education of China, and the Laboratory of Mathematics for Nonlinear Model and Methods at Fudan University. |
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| Abstract： |
Extensions of the Hardy and the Bergman modules over the disc algebra are studied. The author relates extensions of these canonical modules to the symbol spaces of corresponding Hankel operators. In the context of function theory, an explicit formula of $\Ext(L_a^2(D),H^2(D))$ is obtained. Finally, it is also proved that $\Ext(L_a^2(D),L^2_a(D))\not=0$. This may be the essential difference between the Hardy and the Bergman modules over the disk algebra. |
Keywords： |
Hilbert module, Hankel operator, Disc algebra, Symbol space |
Classification： |
47B35 |
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