Remarks on Naimark’s duality

Czaja, Wojciech

doi:10.1090/S0002-9939-07-09048-X

Remarks on Naimark’s duality
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by Wojciech Czaja PDF

Proc. Amer. Math. Soc. 136 (2008), 867-871 Request permission

Abstract:

We present an extension of a version of Naimark’s dilation theorem which states that complete systems in a Hilbert space are projections of $\omega$-linearly independent systems of elements of an ambient Hilbert space. This result is presented in the context of other known extensions of Naimark’s theorem.

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