Isometric Reflection Vectors and Characterizations of Hilbert Spaces
Copyright policy ) Donghai Ji; Senlin Wu;
Isometric Reflection Vectors and Characterizations of Hilbert Spaces
A known characterization of Hilbert spaces via isometric reflection vectors is based on the following implication: if the set of isometric reflection vectors in the unit sphereSXof a Banach spaceXhas nonempty interior inSX, thenXis a Hilbert space. Applying a recent result based on well-known theorem of Kronecker from number theory, we improve this by substantial reduction of the set of isometric reflection vectors needed in the hypothesis.
- Harbin University of Science and Technology China (People's Republic of)
Hilbert spaces, QA1-939, Isometric theory of Banach spaces, Characterizations of Hilbert spaces, Mathematics, isometric reflections
Hilbert spaces, QA1-939, Isometric theory of Banach spaces, Characterizations of Hilbert spaces, Mathematics, isometric reflections
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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