Abstract
We propose a notion of market completeness which is invariant under change to an equivalent probability measure. Completeness means that an operator T acting on stopping time simple trading strategies has dense range in the weak* topology on bounded random variables. In our setup, the claims which can be approximated by attainable ones has codimension equal to the dimension of the kernel of the adjoint operator
Citation
Robert Bättig. "Completeness of securities market models--an operator point of view." Ann. Appl. Probab. 9 (2) 529 - 566, May 1999. https://doi.org/10.1214/aoap/1029962754
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