The exact Hilbert-space values and the converse characterization claimed for the new skew constants are false; explicit counterexamples from the paper's own definition refute them.
Dinarvand, On a general class of geometric constants and normal structure in Banach spaces, J
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Skew-Parameterized Geometric Constants in Banach Spaces
The exact Hilbert-space values and the converse characterization claimed for the new skew constants are false; explicit counterexamples from the paper's own definition refute them.