Please use this identifier to cite or link to this item:
https://www.um.edu.mt/library/oar/handle/123456789/18346| Title: | A note on strongly closed subspaces in an inner product space |
| Authors: | Buhagiar, David |
| Keywords: | Inner product spaces Lattice theory Invariant subspaces |
| Issue Date: | 2004-08 |
| Publisher: | Springer US |
| Citation: | Buhagiar, D. (2004). A note on strongly closed subspaces in an inner product space. International Journal of Theoretical Physics, 43(7), 1737-1741. |
| Abstract: | We study some weak states on the orthocomplemented lattice F(S) of all strongly closed subspaces in an inner product space. We show that F(S) always possesses two-valued weak states, and we derive a characterization of (topological) completeness of S in terms of two-valued weak states. We also prove an extension theorem for weak states. |
| URI: | https://www.um.edu.mt/library/oar//handle/123456789/18346 |
| Appears in Collections: | Scholarly Works - FacSciMat |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A Note on Strongly Closed Subspaces in an Inner Product Space.pdf Restricted Access | A note on strongly closed subspaces in an inner product space | 58.69 kB | Adobe PDF | View/Open Request a copy |
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