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https://www.um.edu.mt/library/oar/handle/123456789/18420| Title: | Only 'free' measures are admissable on F(S) when the inner product space S is incomplete |
| Authors: | Buhagiar, David Chetcuti, Emanuel |
| Keywords: | Inner product spaces Hilbert space Lattice theory Incompleteness theorems |
| Issue Date: | 2008-03 |
| Publisher: | American Mathematical Society |
| Citation: | Buhagiar, D., & Chetcuti, E. (2008). Only 'free' measures are admissable on F(S) when the inner product space S is incomplete. Proceedings of the American Mathematical Society, 136(3), 919-922. |
| Abstract: | Using elementary arguments and without having to recall the Gleason Theorem, we prove that the existence of a nonsingular measure on the lattice of orthogonally closed subspaces of an inner product space S is a sufficient (and of course, a necessary) condition for S to be a Hilbert space. |
| URI: | https://www.um.edu.mt/library/oar//handle/123456789/18420 |
| Appears in Collections: | Scholarly Works - FacSciMat |
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|---|---|---|---|---|
| Only 'Free' Measures Are Admissable on F(S) When the Inner Product Space S Is Incomplete.1.pdf Restricted Access | Only 'free' measures are admissable on F(S) when the inner product space S is incomplete | 337.43 kB | Adobe PDF | View/Open Request a copy |
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