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A note on the Nikodým boundedness theorem

In: Tatra Mountains Mathematical Publications, vol. 8, no. 2
Anatolij Dvurečenskij
Detaily:
Rok, strany: 1996, 229 - 238
O článku:
In contrast to the known facts that Nikodým's convergence theorem fails for $σ$-additive measures defined on the system $L(H)$ of all closed subspaces of a real or complex Hilbert space $H$, in general, when dim$H<∞$, we prove that for any infinite-dimensional Hilbert space $H$ it remains valid. Some applications to vector-valued measures are also presented.
Ako citovať:
ISO 690:
Dvurečenskij, A. 1996. A note on the Nikodým boundedness theorem. In Tatra Mountains Mathematical Publications, vol. 8, no.2, pp. 229-238. 1210-3195.

APA:
Dvurečenskij, A. (1996). A note on the Nikodým boundedness theorem. Tatra Mountains Mathematical Publications, 8(2), 229-238. 1210-3195.