Only `free' measures are admissable on ![]() is incomplete |
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| Authors: | D Buhagiar E Chetcuti |
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| Institution: | Department of Mathematics, Faculty of Science, University of Malta, Msida MSD.06, Malta ; Department of Mathematics, Junior College, University of Malta, Msida MSD.06, Malta |
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| 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  is a sufficient (and of course, a necessary) condition for  to be a Hilbert space. |
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