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For a normed infinite-dimensional space, we prove that the family of all locally convex topologies which are compatible with the original norm topology has cardinality greater or equal to c. Click to show full abstract
For a normed infinite-dimensional space, we prove that the family of all locally convex topologies which are compatible with the original norm topology has cardinality greater or equal to c.
Keywords:
locally convex;
convex topologies;
normed spaces;
cardinality;
compatible locally;
topologies normed
Journal Title: Bulletin of The Australian Mathematical Society
Year Published: 2017
Link to full text (if available)
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Journal Title: Bulletin of The Australian Mathematical Society
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!