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On the Non-existence of Two-Valued Lattice Homomorphisms of Quantum Logic |
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| Authors: | Minoru Koga |
| Institution: | 1.Graduate School of Informatics,Nagoya University,Nagoya,Japan |
| Abstract: | We show that there exists no two-valued lattice homomorphism from the lattice \(\mathscr{L}(\mathscr{H})\) of all closed linear subspaces of a Hilbert space \(\mathscr{H}\) with \(\dim (\mathscr{H}) \geq 2\) by using the notion of prime filters. |
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