Bibliographic Details
| Title: |
On the invariance of hyperstoneanness under lattice isomorphisms. |
| Authors: |
GÜNTÜRK, Banu1 bgunturk@baskent.edu.tr |
| Superior Title: |
Turkish Journal of Mathematics. 2024, Vol. 48 Issue 1, p15-20. 6p. |
| Subject Terms: |
*BANACH spaces, *BANACH lattices, *HAUSDORFF spaces, *COMPACT spaces (Topology) |
| Abstract: |
Let X and Y be compact Hausdorff spaces with Y hyperstonean. In this paper, we prove that if C(X, R) and C(Y, R) are lattice isomorphic then these Banach spaces are linearly isometric, and, consequently, X and Y are homeomorphic, which in turn implies that X is also hyperstonean. Actually, we prove more than what is ann [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |