Boutet de Monvel算子的族指数
Families index for Boutet de Monvel operators
摘要：
定义了Boutet de Monvel代数C*-闭包中连续算子族的解析指数和拓扑指数。利用C ~*-代数K-理论和闭流形上椭圆算子族的Atiyah-Singer定理，证明了这两个指标是一致的.
英文摘要：
We define the analytical and the topological indices for continuous families of operators in the C*-closure of the Boutet de Monvel algebra. Using techniques of C*-algebra K-theory and the Atiyah-Singer theorem for families of elliptic operators on a closed manifold, we prove that these two indices coincide.
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